Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402k |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224256 |
Modular degree for the optimal curve |
Δ |
5707434969808 = 24 · 114 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 11- 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4479,-12107] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:309:1] |
Generators of the group modulo torsion |
j |
678965416393/389825488 |
j-invariant |
L |
4.7523970246972 |
L(r)(E,1)/r! |
Ω |
0.63383651248291 |
Real period |
R |
0.937228473301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402bh1 |
Quadratic twists by: -11 |