Atkin-Lehner |
2- 3- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430bm |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-49065689088000 = -1 · 219 · 36 · 53 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29948,-2015553] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2181:1] |
Generators of the group modulo torsion |
j |
-4074610141962361/67305472000 |
j-invariant |
L |
10.067855682784 |
L(r)(E,1)/r! |
Ω |
0.18128118841478 |
Real period |
R |
1.4615061443769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10270a1 |
Quadratic twists by: -3 |