Atkin-Lehner |
2- 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070q |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
259840 |
Modular degree for the optimal curve |
Δ |
119765520000000 = 210 · 33 · 57 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37028,-2682169] |
[a1,a2,a3,a4,a6] |
j |
207940803281162307/4435760000000 |
j-invariant |
L |
3.4461281831954 |
L(r)(E,1)/r! |
Ω |
0.34461281800722 |
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 |
56070d1 |
Quadratic twists by: -3 |