Atkin-Lehner |
2- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21488i |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
488158195456 = 28 · 176 · 79 |
Discriminant |
Eigenvalues |
2- -3 3 -3 2 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11311,-461798] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:34:1] |
Generators of the group modulo torsion |
j |
625153625235792/1906867951 |
j-invariant |
L |
2.967566871377 |
L(r)(E,1)/r! |
Ω |
0.46302446660223 |
Real period |
R |
1.0681821679797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5372b1 85952u1 |
Quadratic twists by: -4 8 |