Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432m |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-22708155294657536 = -1 · 210 · 11 · 1710 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27840,-7458116] |
[a1,a2,a3,a4,a6] |
j |
-1156/11 |
j-invariant |
L |
1.2901352445711 |
L(r)(E,1)/r! |
Ω |
0.16126690557138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50864d1 25432f1 |
Quadratic twists by: -4 17 |