Atkin-Lehner |
2+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792b |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13483008 |
Modular degree for the optimal curve |
Δ |
-2.052873683517E+25 |
Discriminant |
Eigenvalues |
2+ 0 3 3 -2 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66632396,302238831728] |
[a1,a2,a3,a4,a6] |
j |
-124807326579650811896073/78310916271856654336 |
j-invariant |
L |
3.0305971160122 |
L(r)(E,1)/r! |
Ω |
0.063137441807598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792h1 2806b1 |
Quadratic twists by: -4 8 |