Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350d |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6144000 |
Modular degree for the optimal curve |
Δ |
1.2213789196183E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12440925,1589248125] |
[a1,a2,a3,a4,a6] |
j |
13628929860777294382033/7816825085557211136 |
j-invariant |
L |
1.7891522949932 |
L(r)(E,1)/r! |
Ω |
0.089457614761266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974j1 |
Quadratic twists by: 5 |