Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bp |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
389885902848 = 214 · 310 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8273,285327] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:756:1] |
Generators of the group modulo torsion |
j |
3822481042000/23796747 |
j-invariant |
L |
8.754864998312 |
L(r)(E,1)/r! |
Ω |
0.95499124129006 |
Real period |
R |
1.8334963964557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376f2 19344j2 |
Quadratic twists by: -4 8 |