Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
92950ca |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-7290593318937500 = -1 · 22 · 56 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24030,4357097] |
[a1,a2,a3,a4,a6] |
Generators |
[11239175136:-357387171205:11239424] |
Generators of the group modulo torsion |
j |
-9261/44 |
j-invariant |
L |
11.778384582985 |
L(r)(E,1)/r! |
Ω |
0.36342591780479 |
Real period |
R |
16.204656841716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3718c1 92950v1 |
Quadratic twists by: 5 13 |