Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8904g |
Isogeny class |
Conductor |
8904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1034377537536 = -1 · 211 · 34 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -5 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9360,-355104] |
[a1,a2,a3,a4,a6] |
j |
-44286127310882/505067157 |
j-invariant |
L |
1.9401783829742 |
L(r)(E,1)/r! |
Ω |
0.24252229787178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17808d1 71232a1 26712b1 62328bd1 |
Quadratic twists by: -4 8 -3 -7 |