Atkin-Lehner |
2+ 7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674k |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
435600 |
Modular degree for the optimal curve |
Δ |
-31952459442176 = -1 · 211 · 76 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30308,-2051486] |
[a1,a2,a3,a4,a6] |
j |
-26168974809769/271591424 |
j-invariant |
L |
0.36161213479022 |
L(r)(E,1)/r! |
Ω |
0.18080618344656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626a1 |
Quadratic twists by: -7 |