Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056bf |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
2687911292181676032 = 222 · 310 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1266051,-542604926] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:1598:1] |
Generators of the group modulo torsion |
j |
75160530649878913/900176053248 |
j-invariant |
L |
2.7547115507536 |
L(r)(E,1)/r! |
Ω |
0.14242992088861 |
Real period |
R |
1.6117350578095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999616187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382f1 38352o1 |
Quadratic twists by: -4 -3 |