Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bj |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-68665968000000 = -1 · 210 · 36 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5076,-422702] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/4394621952 |
j-invariant |
L |
3.0716158593038 |
L(r)(E,1)/r! |
Ω |
0.25596798827558 |
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 |
91350el1 1218f1 |
Quadratic twists by: -3 5 |