Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725j |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-1464584372138671875 = -1 · 37 · 510 · 74 · 134 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -6 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1513958,719864693] |
[a1,a2,a3,a4,a6] |
Generators |
[4245031110:30327772747:6859000] |
Generators of the group modulo torsion |
j |
-1375916339200/5250987 |
j-invariant |
L |
9.0012479055046 |
L(r)(E,1)/r! |
Ω |
0.27025480091911 |
Real period |
R |
16.653261777771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725cp1 88725w1 |
Quadratic twists by: 5 13 |