Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ey |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-5530639564800 = -1 · 215 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,-422480] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1512:1] |
Generators of the group modulo torsion |
j |
-207108680/9261 |
j-invariant |
L |
8.4659679398112 |
L(r)(E,1)/r! |
Ω |
0.23587758864473 |
Real period |
R |
1.4954734177136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dj1 50400bk1 33600cv1 100800gr1 |
Quadratic twists by: -4 8 -3 5 |