Atkin-Lehner |
2+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40432i |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
5006411536 = 24 · 74 · 194 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13116,582547] |
[a1,a2,a3,a4,a6] |
Generators |
[522:-133:8] [51:209:1] |
Generators of the group modulo torsion |
j |
119681400064/2401 |
j-invariant |
L |
7.1141621259021 |
L(r)(E,1)/r! |
Ω |
1.2584608425174 |
Real period |
R |
0.47108882834945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216g1 40432k1 |
Quadratic twists by: -4 -19 |