Atkin-Lehner |
2- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870v |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1615680 |
Modular degree for the optimal curve |
Δ |
-1302176612354750 = -1 · 2 · 53 · 119 · 472 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11+ 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-929787,-344854551] |
[a1,a2,a3,a4,a6] |
Generators |
[17566:715483:8] |
Generators of the group modulo torsion |
j |
-37699840860291/552250 |
j-invariant |
L |
5.8193622498002 |
L(r)(E,1)/r! |
Ω |
0.076872914409123 |
Real period |
R |
6.3084229063823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870i1 |
Quadratic twists by: -11 |