Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282a |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
81087552 = 26 · 32 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121,229] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:25:1] [-6:31:1] |
Generators of the group modulo torsion |
j |
198461344537/81087552 |
j-invariant |
L |
3.5148817358741 |
L(r)(E,1)/r! |
Ω |
1.7452856882031 |
Real period |
R |
0.50348228940865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256da1 27846bh1 64974v1 120666bn1 |
Quadratic twists by: -4 -3 -7 13 |