Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600p |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-167042000000000 = -1 · 210 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,-622688] |
[a1,a2,a3,a4,a6] |
j |
-1156/125 |
j-invariant |
L |
1.0158455596589 |
L(r)(E,1)/r! |
Ω |
0.25396135318729 |
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 |
57800j1 23120g1 115600d1 |
Quadratic twists by: -4 5 17 |