Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bw |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-619716107500000 = -1 · 25 · 57 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3037,-1194719] |
[a1,a2,a3,a4,a6] |
j |
34391/6880 |
j-invariant |
L |
7.26556460687 |
L(r)(E,1)/r! |
Ω |
0.24218549272786 |
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 |
21070b1 105350ci1 |
Quadratic twists by: 5 -7 |