Atkin-Lehner |
2- 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450q |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1052717040400000000 = -1 · 210 · 58 · 294 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2937,49364617] |
[a1,a2,a3,a4,a6] |
Generators |
[-328:3789:1] [78:-7115:1] |
Generators of the group modulo torsion |
j |
179310732119/67373890585600 |
j-invariant |
L |
9.6533577410117 |
L(r)(E,1)/r! |
Ω |
0.21913782679158 |
Real period |
R |
0.55064419289847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17690e2 |
Quadratic twists by: 5 |