Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6123600000000 = 210 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,-47000] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:225:1] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
8.2718574593809 |
L(r)(E,1)/r! |
Ω |
0.6042623454964 |
Real period |
R |
1.7111478021208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ln1 6300n1 33600cx1 20160by1 |
Quadratic twists by: -4 8 -3 5 |