Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34860b |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-14637853440 = -1 · 28 · 39 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,539,-3455] |
[a1,a2,a3,a4,a6] |
j |
67521806336/57179115 |
j-invariant |
L |
2.0680100026584 |
L(r)(E,1)/r! |
Ω |
0.68933666755328 |
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 |
104580v1 |
Quadratic twists by: -3 |