Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7370h |
Isogeny class |
Conductor |
7370 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-30861875000000000 = -1 · 29 · 513 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11+ -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-693695,-222601063] |
[a1,a2,a3,a4,a6] |
Generators |
[1814:66093:1] |
Generators of the group modulo torsion |
j |
-36917258613587289056881/30861875000000000 |
j-invariant |
L |
7.3881213369803 |
L(r)(E,1)/r! |
Ω |
0.082709547091035 |
Real period |
R |
0.38173547331848 |
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 |
58960q1 66330k1 36850c1 81070l1 |
Quadratic twists by: -4 -3 5 -11 |