Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368v |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1703263324644209664 = -1 · 210 · 37 · 77 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56301,62580350] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:5580:1] [175:8820:1] |
Generators of the group modulo torsion |
j |
224727548/19393941 |
j-invariant |
L |
12.853036712234 |
L(r)(E,1)/r! |
Ω |
0.20329700777168 |
Real period |
R |
1.9757172111128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456v3 15624m4 |
Quadratic twists by: -3 -7 |