Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290em |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-18463036252718750 = -1 · 2 · 56 · 79 · 114 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38415,-5844035] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:23709:8] |
Generators of the group modulo torsion |
j |
3639707951/10718750 |
j-invariant |
L |
6.8603024743918 |
L(r)(E,1)/r! |
Ω |
0.19856397664191 |
Real period |
R |
2.8791318672855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470x2 59290by2 |
Quadratic twists by: -7 -11 |