Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568cy |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-83120271821443584 = -1 · 29 · 37 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114976,-20473192] |
[a1,a2,a3,a4,a6] |
Generators |
[3098:171366:1] |
Generators of the group modulo torsion |
j |
-30959144/15309 |
j-invariant |
L |
9.2959462468672 |
L(r)(E,1)/r! |
Ω |
0.12665741311331 |
Real period |
R |
2.6212289582493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568j1 113568bi1 |
Quadratic twists by: -4 13 |