Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850c |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12519360 |
Modular degree for the optimal curve |
Δ |
-5.2133015836426E+21 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 -3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11529550,-15468439500] |
[a1,a2,a3,a4,a6] |
j |
-10847778683045823267553/333651301353127936 |
j-invariant |
L |
0.49069391498205 |
L(r)(E,1)/r! |
Ω |
0.040891228390528 |
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 |
4514d1 |
Quadratic twists by: 5 |