Atkin-Lehner |
2- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12296b |
Isogeny class |
Conductor |
12296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20854016 = 28 · 29 · 532 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172,900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:30:1] |
Generators of the group modulo torsion |
j |
2211014608/81461 |
j-invariant |
L |
7.2200052304253 |
L(r)(E,1)/r! |
Ω |
2.1398868649258 |
Real period |
R |
1.6870062966332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24592b2 98368d2 110664g2 |
Quadratic twists by: -4 8 -3 |