Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350c |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
7076250000 = 24 · 32 · 57 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14775,685125] |
[a1,a2,a3,a4,a6] |
Generators |
[66:21:1] [-30:1065:1] |
Generators of the group modulo torsion |
j |
22831375767409/452880 |
j-invariant |
L |
7.1120468462144 |
L(r)(E,1)/r! |
Ω |
1.2223182532679 |
Real period |
R |
2.9092451278025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870u1 |
Quadratic twists by: 5 |