Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282p |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
175760 |
Modular degree for the optimal curve |
Δ |
-526232894667497472 = -1 · 213 · 3 · 713 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117683,-38253583] |
[a1,a2,a3,a4,a6] |
j |
-180245792507720136625/526232894667497472 |
j-invariant |
L |
1.5505508771846 |
L(r)(E,1)/r! |
Ω |
0.11927314439881 |
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 |
74256cu1 27846i1 64974cf1 120666m1 |
Quadratic twists by: -4 -3 -7 13 |