Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760fk |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-19308845380608000 = -1 · 213 · 310 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1259067,-543818774] |
[a1,a2,a3,a4,a6] |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
4.2756912016839 |
L(r)(E,1)/r! |
Ω |
0.071261518006629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11970by1 31920bs1 |
Quadratic twists by: -4 -3 |