Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400bu |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
722000000000 = 210 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3533,-68563] |
[a1,a2,a3,a4,a6] |
Generators |
[-4495:12924:125] |
Generators of the group modulo torsion |
j |
304900096/45125 |
j-invariant |
L |
7.9628291613096 |
L(r)(E,1)/r! |
Ω |
0.62536350540576 |
Real period |
R |
6.3665604824053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400f1 7600b1 6080r1 |
Quadratic twists by: -4 8 5 |