Atkin-Lehner |
2+ 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350q |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
17728200000000 = 29 · 33 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14325,622125] |
[a1,a2,a3,a4,a6] |
j |
832328832505/45384192 |
j-invariant |
L |
1.3623885540936 |
L(r)(E,1)/r! |
Ω |
0.68119427701414 |
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 |
70350cz1 |
Quadratic twists by: 5 |