Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100l |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1438880000 = -1 · 28 · 54 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,1912] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:22:1] [-2:46:1] |
Generators of the group modulo torsion |
j |
-878800/8993 |
j-invariant |
L |
6.9906709993779 |
L(r)(E,1)/r! |
Ω |
1.2914547738192 |
Real period |
R |
0.90217006189407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100d1 |
Quadratic twists by: 5 |