Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cp |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
106833634725888 = 212 · 34 · 77 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12202,-148828] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1531:8] |
Generators of the group modulo torsion |
j |
1707775420177/908070912 |
j-invariant |
L |
16.366371714946 |
L(r)(E,1)/r! |
Ω |
0.48257145579143 |
Real period |
R |
2.8262432278918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16422o1 |
Quadratic twists by: -7 |