Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082i |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-28571735808 = -1 · 28 · 32 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-486,-9324] |
[a1,a2,a3,a4,a6] |
Generators |
[39:162:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
2.0115011442453 |
L(r)(E,1)/r! |
Ω |
0.47547940177063 |
Real period |
R |
1.0576173945468 |
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 |
40656co1 15246bs1 127050hk1 35574bg1 |
Quadratic twists by: -4 -3 5 -7 |