Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856o |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
15451200 |
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 |
[25098:2439558:1] |
Generators of the group modulo torsion |
j |
-3250059460986832/847288609443 |
j-invariant |
L |
5.9398438909768 |
L(r)(E,1)/r! |
Ω |
0.017925842724233 |
Real period |
R |
1.1045215525529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712d1 98568e1 32856f1 |
Quadratic twists by: -4 -3 37 |