Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760cw |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-100160608665600000 = -1 · 226 · 33 · 55 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114213,-3336566] |
[a1,a2,a3,a4,a6] |
Generators |
[143:3990:1] |
Generators of the group modulo torsion |
j |
1489863969861597/905676800000 |
j-invariant |
L |
8.1591824049653 |
L(r)(E,1)/r! |
Ω |
0.19515020715449 |
Real period |
R |
1.0452438827408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970bj1 95760ce1 |
Quadratic twists by: -4 -3 |