Atkin-Lehner |
2- 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620v |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
247998115182056400 = 24 · 39 · 52 · 75 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1340832,-597118219] |
[a1,a2,a3,a4,a6] |
j |
22855951179059298304/21261841150725 |
j-invariant |
L |
0.2806145679263 |
L(r)(E,1)/r! |
Ω |
0.14030728394237 |
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 |
15540a1 |
Quadratic twists by: -3 |