Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850a |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
107560156250 = 2 · 58 · 37 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10025,381875] |
[a1,a2,a3,a4,a6] |
j |
7132216495249/6883850 |
j-invariant |
L |
2.1035620358254 |
L(r)(E,1)/r! |
Ω |
1.0517809228211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22570g2 |
Quadratic twists by: 5 |