Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800hl |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-160030080000 = -1 · 210 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,900,-16200] |
[a1,a2,a3,a4,a6] |
j |
172800/343 |
j-invariant |
L |
3.201843474394 |
L(r)(E,1)/r! |
Ω |
0.53364061519117 |
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 |
100800ok1 12600ck1 11200bm1 100800de1 |
Quadratic twists by: -4 8 -3 5 |