Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468bc |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5870592 |
Modular degree for the optimal curve |
Δ |
-9.1115710212532E+20 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 0 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3386357,2802826039] |
[a1,a2,a3,a4,a6] |
Generators |
[12469:1378174:1] |
Generators of the group modulo torsion |
j |
-142591572175224832/30252763985899 |
j-invariant |
L |
2.8997532775558 |
L(r)(E,1)/r! |
Ω |
0.15058625231435 |
Real period |
R |
0.40117557620655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14924d1 |
Quadratic twists by: -7 |