Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cq |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
416640 |
Modular degree for the optimal curve |
Δ |
-132746073222656250 = -1 · 2 · 314 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,126862,-2181858] |
[a1,a2,a3,a4,a6] |
j |
23121612385175/13593197898 |
j-invariant |
L |
5.4045244341462 |
L(r)(E,1)/r! |
Ω |
0.19301872979107 |
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 |
91350bf1 30450x1 |
Quadratic twists by: -3 5 |