Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12635a |
Isogeny class |
Conductor |
12635 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2017092147875 = -1 · 53 · 73 · 196 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3129,10452] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1263:1] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
2.1527875013804 |
L(r)(E,1)/r! |
Ω |
0.50587185081896 |
Real period |
R |
0.70926642056852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715bj2 63175d2 88445bn2 35a1 |
Quadratic twists by: -3 5 -7 -19 |