Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576b |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-592002238464 = -1 · 211 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,37024] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:98:1] [12:-196:1] |
Generators of the group modulo torsion |
j |
-2/2457 |
j-invariant |
L |
6.7222097345685 |
L(r)(E,1)/r! |
Ω |
0.7297540126063 |
Real period |
R |
0.57572565707455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288bb1 122304hx1 91728t1 4368j1 |
Quadratic twists by: -4 8 -3 -7 |