Atkin-Lehner |
2- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300i |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-204987500000000 = -1 · 28 · 511 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 -6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20800,1344500] |
[a1,a2,a3,a4,a6] |
j |
-248801918976/51246875 |
j-invariant |
L |
4.3174726624861 |
L(r)(E,1)/r! |
Ω |
0.53968408384844 |
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 |
14260d1 |
Quadratic twists by: 5 |