Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400z |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
393592500000000 = 28 · 33 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35833,-2442037] |
[a1,a2,a3,a4,a6] |
j |
2035379200/157437 |
j-invariant |
L |
4.1843809690806 |
L(r)(E,1)/r! |
Ω |
0.34869841344106 |
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 |
71400di1 |
Quadratic twists by: 5 |