Atkin-Lehner |
3- 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485bd |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1924280603004375 = -1 · 36 · 54 · 73 · 114 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29668,757806] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-6933:8] [96:-2166:1] |
Generators of the group modulo torsion |
j |
3961637357440391/2639616739375 |
j-invariant |
L |
7.984203476946 |
L(r)(E,1)/r! |
Ω |
0.29356409311204 |
Real period |
R |
0.56661416142879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165b1 |
Quadratic twists by: -3 |