Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269i |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15510528 |
Modular degree for the optimal curve |
Δ |
-5.8790600176954E+20 |
Discriminant |
Eigenvalues |
-2 3+ -4 7- 2 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17715090,-28716557668] |
[a1,a2,a3,a4,a6] |
Generators |
[21820:3158011:1] |
Generators of the group modulo torsion |
j |
-6796808121217024/6499187667 |
j-invariant |
L |
1.5052880810561 |
L(r)(E,1)/r! |
Ω |
0.036792459002809 |
Real period |
R |
1.2785297312274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1407b1 |
Quadratic twists by: -67 |