Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826l |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
128771727270912 = 210 · 35 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16252,-588080] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:500:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
1.3046321721052 |
L(r)(E,1)/r! |
Ω |
0.43142987138055 |
Real period |
R |
3.0239727442388 |
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 |
71478cb1 66c1 |
Quadratic twists by: -3 -19 |