Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bg |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
2888000 = 26 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-405,-3275] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] |
Generators of the group modulo torsion |
j |
318767104/125 |
j-invariant |
L |
3.9923488314059 |
L(r)(E,1)/r! |
Ω |
1.0640369148968 |
Real period |
R |
1.2506924588393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cw1 1805b1 115520u1 |
Quadratic twists by: -4 8 -19 |