Atkin-Lehner |
2- 3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bc |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1272009753413812224 = 220 · 39 · 7 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-271136,-2844989] |
[a1,a2,a3,a4,a6] |
j |
111993410990012859/64624790601728 |
j-invariant |
L |
4.5646569918805 |
L(r)(E,1)/r! |
Ω |
0.22823284965431 |
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 |
69426g1 |
Quadratic twists by: -3 |