Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752w |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190720 |
Modular degree for the optimal curve |
Δ |
95201054352 = 24 · 33 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36171,-2647781] |
[a1,a2,a3,a4,a6] |
Generators |
[-878:51:8] |
Generators of the group modulo torsion |
j |
12114946823222016/220372811 |
j-invariant |
L |
4.9365034341727 |
L(r)(E,1)/r! |
Ω |
0.34618631808566 |
Real period |
R |
3.5649180750225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121752a1 |
Quadratic twists by: -3 |