Atkin-Lehner |
2+ 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350f |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-70818046875000 = -1 · 23 · 34 · 510 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9700,-551000] |
[a1,a2,a3,a4,a6] |
j |
-10337340625/7251768 |
j-invariant |
L |
0.93320823627702 |
L(r)(E,1)/r! |
Ω |
0.23330204433131 |
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 |
88350cz1 |
Quadratic twists by: 5 |