Atkin-Lehner |
2+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514a |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12110400 |
Modular degree for the optimal curve |
Δ |
-2.124806854964E+23 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2460748,22128150130] |
[a1,a2,a3,a4,a6] |
Generators |
[-64860:1342930:27] |
Generators of the group modulo torsion |
j |
3916926383/505055936 |
j-invariant |
L |
3.2679649240533 |
L(r)(E,1)/r! |
Ω |
0.076827127719369 |
Real period |
R |
10.634150111185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000027215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514k1 |
Quadratic twists by: 29 |