Atkin-Lehner |
2- 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128i |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2259620876187648 = 211 · 316 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41115,-2250794] |
[a1,a2,a3,a4,a6] |
j |
5148338755250/1513484919 |
j-invariant |
L |
2.7427509149151 |
L(r)(E,1)/r! |
Ω |
0.34284384341477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376b2 |
Quadratic twists by: -3 |