Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380u |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
8950195024353360 = 24 · 316 · 5 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56928,2571793] |
[a1,a2,a3,a4,a6] |
j |
1749258449453056/767334964365 |
j-invariant |
L |
2.221934815226 |
L(r)(E,1)/r! |
Ω |
0.37032246682228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460n1 |
Quadratic twists by: -3 |