Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294cg |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1048993815054276 = 22 · 38 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41099,-2792617] |
[a1,a2,a3,a4,a6] |
Generators |
[-9516:12421:64] |
Generators of the group modulo torsion |
j |
2181825073/298116 |
j-invariant |
L |
8.3989353844783 |
L(r)(E,1)/r! |
Ω |
0.33834395168433 |
Real period |
R |
6.205915121777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7098k2 1638i2 |
Quadratic twists by: -3 13 |