Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bv |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
18910219349000448 = 28 · 310 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2587935,1602412994] |
[a1,a2,a3,a4,a6] |
Generators |
[-1127:55566:1] |
Generators of the group modulo torsion |
j |
254527054000/2511 |
j-invariant |
L |
4.7921663828684 |
L(r)(E,1)/r! |
Ω |
0.34922601394722 |
Real period |
R |
1.7152811374057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456f1 109368bp1 |
Quadratic twists by: -3 -7 |