Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050s |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1634838487200 = 25 · 39 · 52 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7598,-250549] |
[a1,a2,a3,a4,a6] |
j |
1940372645668105/65393539488 |
j-invariant |
L |
2.5620758418778 |
L(r)(E,1)/r! |
Ω |
0.51241516837556 |
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 |
56400cy1 21150y1 7050q1 |
Quadratic twists by: -4 -3 5 |