Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712d |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30902400 |
Modular degree for the optimal curve |
Δ |
-7.6187746104572E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 0 -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297856524,2383054876080] |
[a1,a2,a3,a4,a6] |
Generators |
[447672:38206052:27] |
Generators of the group modulo torsion |
j |
-3250059460986832/847288609443 |
j-invariant |
L |
1.8950922617312 |
L(r)(E,1)/r! |
Ω |
0.048045016519951 |
Real period |
R |
6.5740160635809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856o1 65712b1 |
Quadratic twists by: -4 37 |