Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800y |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-35534800000000 = -1 · 210 · 58 · 74 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14208,-716912] |
[a1,a2,a3,a4,a6] |
j |
-793036420/88837 |
j-invariant |
L |
0.86908474200678 |
L(r)(E,1)/r! |
Ω |
0.21727118566125 |
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 |
103600z1 51800a1 |
Quadratic twists by: -4 5 |