Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bo |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-57818229300 = -1 · 22 · 36 · 52 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,797,-7339] |
[a1,a2,a3,a4,a6] |
Generators |
[11:48:1] |
Generators of the group modulo torsion |
j |
2239363577255/2312729172 |
j-invariant |
L |
7.3962465022661 |
L(r)(E,1)/r! |
Ω |
0.6042614853349 |
Real period |
R |
1.5300177741275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150bc1 37050bi1 |
Quadratic twists by: -3 5 |