Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bc |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-52305180468750 = -1 · 2 · 37 · 58 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9349,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[12:331:1] |
Generators of the group modulo torsion |
j |
5784501536351/3347531550 |
j-invariant |
L |
6.0057061751755 |
L(r)(E,1)/r! |
Ω |
0.37698439814602 |
Real period |
R |
1.1379224567973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850es1 7590p1 |
Quadratic twists by: -3 5 |