Atkin-Lehner |
2+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398i |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
948480 |
Modular degree for the optimal curve |
Δ |
7050210527150336 = 28 · 72 · 139 · 53 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107150,-12890304] |
[a1,a2,a3,a4,a6] |
Generators |
[41943:1592255:27] |
Generators of the group modulo torsion |
j |
12829337821/664832 |
j-invariant |
L |
4.3802276014192 |
L(r)(E,1)/r! |
Ω |
0.26472743544332 |
Real period |
R |
8.2730897899397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998056108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125398p1 |
Quadratic twists by: 13 |