Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498d |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3323448436 = 22 · 7 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42519282,106711830432] |
[a1,a2,a3,a4,a6] |
Generators |
[12705585:-6348793:3375] |
Generators of the group modulo torsion |
j |
4798719371068773390577/1876 |
j-invariant |
L |
5.9649108523897 |
L(r)(E,1)/r! |
Ω |
0.39883472678795 |
Real period |
R |
3.7389615606389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938d3 |
Quadratic twists by: -11 |