Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bp |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-174048658108416 = -1 · 212 · 34 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20645,1313229] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3087:1] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
5.5030668584042 |
L(r)(E,1)/r! |
Ω |
0.54924659541674 |
Real period |
R |
2.5048252025252 |
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 |
1911g1 122304ic1 91728ec1 4368w1 |
Quadratic twists by: -4 8 -3 -7 |