Atkin-Lehner |
2- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240m |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-340931379200 = -1 · 219 · 52 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 6 -7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1504,-16396] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-370:1] |
Generators of the group modulo torsion |
j |
91794884831/83235200 |
j-invariant |
L |
7.9457818405904 |
L(r)(E,1)/r! |
Ω |
0.52687900249964 |
Real period |
R |
0.94255296316748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030e1 |
Quadratic twists by: -4 |