Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87616bu |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
532323286200635392 = 212 · 379 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202612,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-497995505172:-10530197587932:1784770597] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.90716505615 |
L(r)(E,1)/r! |
Ω |
0.24717578666715 |
Real period |
R |
19.852935915053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87616bu2 43808h1 87616bt2 |
Quadratic twists by: -4 8 37 |