Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192z |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17149440 |
Modular degree for the optimal curve |
Δ |
-6.7140152062983E+25 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ -5 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81792576,-486267769088] |
[a1,a2,a3,a4,a6] |
Generators |
[74200594:639162176254:1] |
Generators of the group modulo torsion |
j |
-1018411856981/1129900996 |
j-invariant |
L |
2.4179929533342 |
L(r)(E,1)/r! |
Ω |
0.024055920383778 |
Real period |
R |
12.564437957261 |
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 |
11774m1 94192w1 |
Quadratic twists by: -4 29 |