Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550cu |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
75264000 |
Modular degree for the optimal curve |
Δ |
3.5407620897474E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1105648992,-13857663795584] |
[a1,a2,a3,a4,a6] |
Generators |
[-17605:396914:1] |
Generators of the group modulo torsion |
j |
524913777953812394386465/12433951920100652928 |
j-invariant |
L |
4.8888647890461 |
L(r)(E,1)/r! |
Ω |
0.026219351716992 |
Real period |
R |
1.1653760686879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850ci1 116550dy1 |
Quadratic twists by: -3 5 |