Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365b |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10768896 |
Modular degree for the optimal curve |
Δ |
8.2777718537328E+22 |
Discriminant |
Eigenvalues |
1 0 5+ -4 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38245325,-89968397000] |
[a1,a2,a3,a4,a6] |
Generators |
[-164634647827424755050994562659243220822925442430870267371944:478514352774027733508288390148773155089633465548447102347592:50491288232593750824494323058346837871034837233917106033] |
Generators of the group modulo torsion |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
5.452658063972 |
L(r)(E,1)/r! |
Ω |
0.060758438892497 |
Real period |
R |
89.743221902388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c1 |
Quadratic twists by: 37 |