Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16324c |
Isogeny class |
Conductor |
16324 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-80444672 = -1 · 28 · 72 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3 4 7+ 11- 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,590] |
[a1,a2,a3,a4,a6] |
j |
-472058064/314237 |
j-invariant |
L |
7.1132138021549 |
L(r)(E,1)/r! |
Ω |
1.7783034505387 |
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 |
65296y1 114268j1 |
Quadratic twists by: -4 -7 |