Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800g |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6888960 |
Modular degree for the optimal curve |
Δ |
3.0926881533279E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488135208,-4063744743588] |
[a1,a2,a3,a4,a6] |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
1.5439812689388 |
L(r)(E,1)/r! |
Ω |
0.032166276436226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600v1 110400eg1 41400bs1 13800ba1 |
Quadratic twists by: -4 8 -3 5 |