Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664k |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-18391126899712 = -1 · 210 · 7 · 376 |
Discriminant |
Eigenvalues |
2- 2 4 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-206212] |
[a1,a2,a3,a4,a6] |
Generators |
[2583018311101998:7324711936434955:39770545918104] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
13.678962920997 |
L(r)(E,1)/r! |
Ω |
0.31170676510608 |
Real period |
R |
21.942037281927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56b1 |
Quadratic twists by: 37 |