Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cb |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
5840000000 = 210 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12133,510363] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:984:1] [38:325:1] |
Generators of the group modulo torsion |
j |
12346507264/365 |
j-invariant |
L |
7.2841013962278 |
L(r)(E,1)/r! |
Ω |
1.2551405250432 |
Real period |
R |
5.8034150349109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800h1 29200n1 23360bd1 |
Quadratic twists by: -4 8 5 |