Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616b |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-920775413968666624 = -1 · 218 · 378 |
Discriminant |
Eigenvalues |
2+ 0 -1 2 2 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145678028,-676767033744] |
[a1,a2,a3,a4,a6] |
Generators |
[115209709491378540:-25022053972096523936:2289008334339] |
Generators of the group modulo torsion |
j |
-371323264041 |
j-invariant |
L |
6.3674826036018 |
L(r)(E,1)/r! |
Ω |
0.021728064682902 |
Real period |
R |
24.421114261396 |
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 |
87616y2 1369b2 87616a2 |
Quadratic twists by: -4 8 37 |