Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280q |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-3.4968755324449E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25650420,-49994543343] |
[a1,a2,a3,a4,a6] |
Generators |
[9932223737319118835317548:1677486631370530141666601765:337206291653784552147] |
Generators of the group modulo torsion |
j |
-116650656775536368126100736/2185547207778040575 |
j-invariant |
L |
5.4668148573766 |
L(r)(E,1)/r! |
Ω |
0.033542501605598 |
Real period |
R |
40.745431882638 |
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 |
112560u1 |
Quadratic twists by: -4 |