Atkin-Lehner |
2+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850d |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15729120 |
Modular degree for the optimal curve |
Δ |
-1.4871443515211E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 3 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13273888,-184605993984] |
[a1,a2,a3,a4,a6] |
j |
10346134781909311915606335/594857740608449850376192 |
j-invariant |
L |
1.2063049181889 |
L(r)(E,1)/r! |
Ω |
0.033508469652213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850w1 |
Quadratic twists by: 5 |