Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800be |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
24950025000000 = 26 · 36 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9158,-233688] |
[a1,a2,a3,a4,a6] |
j |
84951891136/24950025 |
j-invariant |
L |
3.9922730942702 |
L(r)(E,1)/r! |
Ω |
0.49903413845638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88800cc1 17760m1 |
Quadratic twists by: -4 5 |