Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576n |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-30394331136 = -1 · 212 · 39 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 2 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,7504] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-108:1] |
Generators of the group modulo torsion |
j |
3511808/10179 |
j-invariant |
L |
3.8385597249746 |
L(r)(E,1)/r! |
Ω |
0.82663669170102 |
Real period |
R |
0.5804484242284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576o1 36192bb1 |
Quadratic twists by: -4 -3 |