Atkin-Lehner |
2+ 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648h |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
49400865792 = 210 · 310 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,-39238] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:16:1] [-26:36:1] |
Generators of the group modulo torsion |
j |
1653974500/66177 |
j-invariant |
L |
10.883768765273 |
L(r)(E,1)/r! |
Ω |
0.69606568166437 |
Real period |
R |
3.9090308045713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824a1 39216c1 |
Quadratic twists by: -4 -3 |