Atkin-Lehner |
2- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69700n |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1712180500000000 = -1 · 28 · 59 · 174 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15292,1847912] |
[a1,a2,a3,a4,a6] |
j |
790893808/3424361 |
j-invariant |
L |
4.0531537679132 |
L(r)(E,1)/r! |
Ω |
0.33776281412909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69700o2 |
Quadratic twists by: 5 |