Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525br |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42640896 |
Modular degree for the optimal curve |
Δ |
-2.4946009813802E+25 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 6 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27788925,-246828982019] |
[a1,a2,a3,a4,a6] |
Generators |
[9208508818133616271761495696836156714959840367373806130123180750143120975366684006703838:612704446165374361280399363889596684582550743371489385176060360399814151686623483428600739:937910283873206297433756394873609310913413384809099668186138724735805206575752962168] |
Generators of the group modulo torsion |
j |
-5208724728884055961600/54751187520005346027 |
j-invariant |
L |
15.566215277256 |
L(r)(E,1)/r! |
Ω |
0.028530159340399 |
Real period |
R |
136.40140501436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35175s1 105525l1 |
Quadratic twists by: -3 5 |