Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498o |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-612679702646143104 = -1 · 27 · 3 · 75 · 377 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71844,-36892995] |
[a1,a2,a3,a4,a6] |
Generators |
[1125:37769:1] |
Generators of the group modulo torsion |
j |
15983964359/238793856 |
j-invariant |
L |
8.4136697529147 |
L(r)(E,1)/r! |
Ω |
0.14144742748815 |
Real period |
R |
0.84975233780703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554a1 |
Quadratic twists by: 37 |