Atkin-Lehner |
2- 3- 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
108630j |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
96217393050 = 2 · 313 · 52 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,1397] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:839:8] |
Generators of the group modulo torsion |
j |
229333309561/131985450 |
j-invariant |
L |
11.376915824825 |
L(r)(E,1)/r! |
Ω |
0.91016305300861 |
Real period |
R |
3.1249663915481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36210m1 |
Quadratic twists by: -3 |