Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664b |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4597781724928 = -1 · 28 · 7 · 376 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1369,101306] |
[a1,a2,a3,a4,a6] |
Generators |
[370:4107:8] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
2.6660200591638 |
L(r)(E,1)/r! |
Ω |
0.57509942880868 |
Real period |
R |
2.3178775068817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56a1 |
Quadratic twists by: 37 |