Atkin-Lehner |
5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205c |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
55917140125 = 53 · 72 · 113 · 193 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35681,2606106] |
[a1,a2,a3,a4,a6] |
j |
102529976072667136/1141166125 |
j-invariant |
L |
1.0124733333031 |
L(r)(E,1)/r! |
Ω |
1.0124733339506 |
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 |
51205l2 |
Quadratic twists by: -7 |