Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130c |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
107725600 = 25 · 52 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72535,-7501059] |
[a1,a2,a3,a4,a6] |
j |
42205585184025485769/107725600 |
j-invariant |
L |
1.1636499670974 |
L(r)(E,1)/r! |
Ω |
0.29091249177435 |
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 |
121040m2 75650q2 |
Quadratic twists by: -4 5 |