Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bd |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2548705280000000 = -1 · 217 · 57 · 114 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117408,-15634688] |
[a1,a2,a3,a4,a6] |
j |
-2796665386969/39823520 |
j-invariant |
L |
1.0307825254568 |
L(r)(E,1)/r! |
Ω |
0.12884782036123 |
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 |
9350z1 14960e1 |
Quadratic twists by: -4 5 |