Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688v |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
606976262144 = 214 · 72 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 0 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39032,-2954896] |
[a1,a2,a3,a4,a6] |
Generators |
[-3066:406:27] |
Generators of the group modulo torsion |
j |
1605599802471673/148187564 |
j-invariant |
L |
5.9431676462697 |
L(r)(E,1)/r! |
Ω |
0.33966111529541 |
Real period |
R |
1.458112064086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586d1 |
Quadratic twists by: -4 |