Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760db |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129920 |
Modular degree for the optimal curve |
Δ |
-37727907840 = -1 · 212 · 36 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13968,-635472] |
[a1,a2,a3,a4,a6] |
Generators |
[5642163:85602923:19683] |
Generators of the group modulo torsion |
j |
-100934332416/12635 |
j-invariant |
L |
4.8268085222579 |
L(r)(E,1)/r! |
Ω |
0.21957492383222 |
Real period |
R |
10.991256298487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5985o1 10640w1 |
Quadratic twists by: -4 -3 |