Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430m |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-8925106176000 = -1 · 215 · 36 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5175,10125] |
[a1,a2,a3,a4,a6] |
j |
21022290802799/12242944000 |
j-invariant |
L |
1.7663876825315 |
L(r)(E,1)/r! |
Ω |
0.44159692062725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270j1 |
Quadratic twists by: -3 |