Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440ba |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1635987974400 = 28 · 312 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3036,17964] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-1080:1] [-30:288:1] |
Generators of the group modulo torsion |
j |
12092945312464/6390578025 |
j-invariant |
L |
12.709623750482 |
L(r)(E,1)/r! |
Ω |
0.73927372746188 |
Real period |
R |
1.432670029159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720g1 |
Quadratic twists by: -4 |