Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558u |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
1829086335132672 = 210 · 3 · 72 · 116 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42836,2704464] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:1500:1] |
Generators of the group modulo torsion |
j |
4906933498657/1032471552 |
j-invariant |
L |
3.6320996584033 |
L(r)(E,1)/r! |
Ω |
0.44399628545047 |
Real period |
R |
4.090236528498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798g1 |
Quadratic twists by: -11 |