Atkin-Lehner |
2- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300h |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-5570312500000000 = -1 · 28 · 515 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15492,-3518488] |
[a1,a2,a3,a4,a6] |
j |
102791724464/1392578125 |
j-invariant |
L |
3.7748600980062 |
L(r)(E,1)/r! |
Ω |
0.2097144510137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260c1 |
Quadratic twists by: 5 |