Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bl |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-14343750000 = -1 · 24 · 33 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,8875] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:3:1] [-15:125:1] |
Generators of the group modulo torsion |
j |
-5038848/2125 |
j-invariant |
L |
7.6798609211218 |
L(r)(E,1)/r! |
Ω |
1.1719696960701 |
Real period |
R |
0.40955948705811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200d1 30600f1 6120c1 |
Quadratic twists by: -4 -3 5 |