Atkin-Lehner |
2+ 3+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310a |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
-11333933437500 = -1 · 22 · 33 · 57 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2565,153425] |
[a1,a2,a3,a4,a6] |
j |
69107759437653/419775312500 |
j-invariant |
L |
2.0770936762219 |
L(r)(E,1)/r! |
Ω |
0.51927339432909 |
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 |
104310bk1 |
Quadratic twists by: -3 |