Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192j |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
87658004304 = 24 · 312 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30846,-2085145] |
[a1,a2,a3,a4,a6] |
Generators |
[223:1458:1] |
Generators of the group modulo torsion |
j |
278274085316608/7515261 |
j-invariant |
L |
2.1870212207279 |
L(r)(E,1)/r! |
Ω |
0.36024714267146 |
Real period |
R |
3.0354456129827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096f1 38064a1 |
Quadratic twists by: -4 -3 |