Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430o |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2510186112000 = 210 · 38 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12195,-509675] |
[a1,a2,a3,a4,a6] |
j |
275145002863921/3443328000 |
j-invariant |
L |
0.90930827957584 |
L(r)(E,1)/r! |
Ω |
0.45465413977034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810r1 |
Quadratic twists by: -3 |