Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950r |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-75822170516950 = -1 · 2 · 52 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,-815592] |
[a1,a2,a3,a4,a6] |
j |
-105625/22 |
j-invariant |
L |
0.85503598629787 |
L(r)(E,1)/r! |
Ω |
0.21375901315517 |
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 |
92950cv1 92950bs1 |
Quadratic twists by: 5 13 |