Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070u |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-24340512656250 = -1 · 2 · 36 · 57 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12983,-613623] |
[a1,a2,a3,a4,a6] |
Generators |
[33504871595490:1283869258422023:22093422616] |
Generators of the group modulo torsion |
j |
-331963239764521/33388906250 |
j-invariant |
L |
9.4726923282023 |
L(r)(E,1)/r! |
Ω |
0.22236172380614 |
Real period |
R |
21.300186394627 |
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 |
6230c1 |
Quadratic twists by: -3 |