Atkin-Lehner |
2+ 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254ba |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2908224 |
Modular degree for the optimal curve |
Δ |
-17476676833093632 = -1 · 211 · 312 · 72 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1287634,562317284] |
[a1,a2,a3,a4,a6] |
j |
-4818417798838782630121/356666874144768 |
j-invariant |
L |
4.4442315233686 |
L(r)(E,1)/r! |
Ω |
0.37035264246862 |
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 |
100254b1 |
Quadratic twists by: -7 |