Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528r |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1266057216 = -1 · 215 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 3 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
-8/53 |
j-invariant |
L |
5.9210525038659 |
L(r)(E,1)/r! |
Ω |
1.2266708991717 |
Real period |
R |
1.2067320802719 |
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 |
30528q1 15264c1 3392b1 |
Quadratic twists by: -4 8 -3 |