Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090a |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
613671341937131520 = 224 · 33 · 5 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-384283,-83746403] |
[a1,a2,a3,a4,a6] |
j |
53344635908334121/5216120340480 |
j-invariant |
L |
0.77182490761089 |
L(r)(E,1)/r! |
Ω |
0.19295622754893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870i1 |
Quadratic twists by: -7 |