Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
125398h |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-1204322392 = -1 · 23 · 75 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186,-1948] |
[a1,a2,a3,a4,a6] |
Generators |
[28:108:1] |
Generators of the group modulo torsion |
j |
-4178448625/7126168 |
j-invariant |
L |
3.9259503937703 |
L(r)(E,1)/r! |
Ω |
0.61129693309105 |
Real period |
R |
1.2844659203781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125398o1 |
Quadratic twists by: 13 |