Atkin-Lehner |
2+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398b |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1403136 |
Modular degree for the optimal curve |
Δ |
-121010254126166314 = -1 · 2 · 72 · 1312 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -3 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43937,-16338681] |
[a1,a2,a3,a4,a6] |
Generators |
[17487:2303955:1] |
Generators of the group modulo torsion |
j |
1943297778239/25070445946 |
j-invariant |
L |
5.7210109358967 |
L(r)(E,1)/r! |
Ω |
0.16243835094231 |
Real period |
R |
8.8048957031909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646e1 |
Quadratic twists by: 13 |