Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800i |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-532800000000 = -1 · 212 · 32 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 6 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64833,-6332463] |
[a1,a2,a3,a4,a6] |
j |
-18836438080/333 |
j-invariant |
L |
1.1967667414321 |
L(r)(E,1)/r! |
Ω |
0.14959583789908 |
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 |
88800w1 88800ch1 |
Quadratic twists by: -4 5 |