Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bo |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
17625600 |
Modular degree for the optimal curve |
Δ |
-1.2267080942006E+19 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -6 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91626037,-337579854809] |
[a1,a2,a3,a4,a6] |
Generators |
[25302:3679975:1] |
Generators of the group modulo torsion |
j |
-5316923824199671984353697536/766692558875384375 |
j-invariant |
L |
2.3201903849138 |
L(r)(E,1)/r! |
Ω |
0.024398595642753 |
Real period |
R |
0.79246035973484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420l1 |
Quadratic twists by: -4 |