Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88725x |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-2.0715806677504E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1468100,-103116125] |
[a1,a2,a3,a4,a6] |
Generators |
[168170:-69050185:1] |
Generators of the group modulo torsion |
j |
2111932187/1250235 |
j-invariant |
L |
5.7103501019022 |
L(r)(E,1)/r! |
Ω |
0.10424955800424 |
Real period |
R |
9.1292954702732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745p1 88725m1 |
Quadratic twists by: 5 13 |