Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528be |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-35003949907968 = -1 · 225 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -1 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,339984] |
[a1,a2,a3,a4,a6] |
Generators |
[60:432:1] |
Generators of the group modulo torsion |
j |
-5000211/6784 |
j-invariant |
L |
5.3885756693227 |
L(r)(E,1)/r! |
Ω |
0.5886778533342 |
Real period |
R |
2.288422962917 |
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 |
30528c1 7632c1 30528ba1 |
Quadratic twists by: -4 8 -3 |