Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725i |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15805440 |
Modular degree for the optimal curve |
Δ |
-8.9529573298837E+23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10730092,-43471041157] |
[a1,a2,a3,a4,a6] |
Generators |
[189980064595872592552539812480530579154:9657771146724456330521043106217365029175:57386376223153207306739888820586984] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
10.140760907876 |
L(r)(E,1)/r! |
Ω |
0.044230295152018 |
Real period |
R |
57.317958613108 |
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 |
3549d1 6825e1 |
Quadratic twists by: 5 13 |