Atkin-Lehner |
2- 3- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702v |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-57222141984 = -1 · 25 · 33 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27286,-1737148] |
[a1,a2,a3,a4,a6] |
j |
-2246696099303227489/57222141984 |
j-invariant |
L |
5.5719229014605 |
L(r)(E,1)/r! |
Ω |
0.18573076338199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106v1 |
Quadratic twists by: -3 |