Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200cb |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
48211200 = 28 · 35 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] |
Generators of the group modulo torsion |
j |
14049280/7533 |
j-invariant |
L |
5.8163220414652 |
L(r)(E,1)/r! |
Ω |
1.6341548627943 |
Real period |
R |
1.7796116432684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9300k1 111600fl1 37200ea1 |
Quadratic twists by: -4 -3 5 |