Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338c |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-15901562765312 = -1 · 224 · 72 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39571,-3025995] |
[a1,a2,a3,a4,a6] |
Generators |
[1468005:47146785:1331] |
Generators of the group modulo torsion |
j |
-6852688047169144713/15901562765312 |
j-invariant |
L |
3.6983952232123 |
L(r)(E,1)/r! |
Ω |
0.16922495620345 |
Real period |
R |
10.927452150633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704f1 84042bs1 65366j1 |
Quadratic twists by: -4 -3 -7 |