Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114268a |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
28984220349392 = 24 · 710 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9669,-255310] |
[a1,a2,a3,a4,a6] |
Generators |
[153018:1917566:729] |
Generators of the group modulo torsion |
j |
53113520128/15397613 |
j-invariant |
L |
7.8935335911412 |
L(r)(E,1)/r! |
Ω |
0.49212136437748 |
Real period |
R |
8.0199054106405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16324e1 |
Quadratic twists by: -7 |