Atkin-Lehner |
2- 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350cn |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1491840 |
Modular degree for the optimal curve |
Δ |
314121543750000 = 24 · 37 · 58 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1815638,940898531] |
[a1,a2,a3,a4,a6] |
j |
1694538667089450625/804151152 |
j-invariant |
L |
5.3327133943905 |
L(r)(E,1)/r! |
Ω |
0.44439278249643 |
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 |
70350bb1 |
Quadratic twists by: 5 |