Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050z |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-30448704687500000 = -1 · 25 · 511 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30187,8151617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:3009:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
6.9023703511833 |
L(r)(E,1)/r! |
Ω |
0.27297354228957 |
Real period |
R |
0.63214646127328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400cd1 54450cf1 1210g1 550b1 |
Quadratic twists by: -4 -3 5 -11 |