Atkin-Lehner |
2+ 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650d |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-242110940989531250 = -1 · 2 · 57 · 73 · 135 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76276,-25030052] |
[a1,a2,a3,a4,a6] |
j |
-3140937043756849/15495100223330 |
j-invariant |
L |
1.2976257499153 |
L(r)(E,1)/r! |
Ω |
0.12976260359473 |
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 |
20930h1 |
Quadratic twists by: 5 |