Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850dc |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4445280 |
Modular degree for the optimal curve |
Δ |
-602703449060473250 = -1 · 2 · 53 · 78 · 535 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 5 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117585,40476867] |
[a1,a2,a3,a4,a6] |
j |
-249506398197/836390986 |
j-invariant |
L |
2.5398371188958 |
L(r)(E,1)/r! |
Ω |
0.2539839131046 |
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 |
129850u1 129850dj1 |
Quadratic twists by: 5 -7 |