Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bs |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
-2.0082987638448E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 3 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1415463,-2251556958] |
[a1,a2,a3,a4,a6] |
Generators |
[126917:45149279:1] |
Generators of the group modulo torsion |
j |
-24606647689/157565625 |
j-invariant |
L |
5.3014249975646 |
L(r)(E,1)/r! |
Ω |
0.061700649005345 |
Real period |
R |
8.5921705608456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745c1 88725bn1 |
Quadratic twists by: 5 13 |