Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cc |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-4596528047343750000 = -1 · 24 · 36 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,275625,86821875] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:40131:1] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
6.603791270344 |
L(r)(E,1)/r! |
Ω |
0.16886375336642 |
Real period |
R |
2.4442009958434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800z1 88200ic1 12600n1 |
Quadratic twists by: -3 5 -7 |