Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426t |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
-252488047118598144 = -1 · 214 · 36 · 74 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-652965,-204358123] |
[a1,a2,a3,a4,a6] |
j |
-42234393984440290641/346348487131136 |
j-invariant |
L |
1.3429333018997 |
L(r)(E,1)/r! |
Ω |
0.083933331885897 |
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 |
7714f1 |
Quadratic twists by: -3 |