Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456ba |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
233459498135808 = 28 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171908,-27481728] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:78:1] |
Generators of the group modulo torsion |
j |
18654615250000/7751457 |
j-invariant |
L |
7.0600016408179 |
L(r)(E,1)/r! |
Ω |
0.23446938952236 |
Real period |
R |
2.5092122740058 |
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 |
72912c1 109368q1 5208k1 |
Quadratic twists by: -4 -3 -7 |