Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540f |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-65413446516990000 = -1 · 24 · 36 · 54 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66699,-10388574] |
[a1,a2,a3,a4,a6] |
Generators |
[9469471512:85963240025:67917312] |
Generators of the group modulo torsion |
j |
424908161024/847006875 |
j-invariant |
L |
4.9810221523113 |
L(r)(E,1)/r! |
Ω |
0.18177648696719 |
Real period |
R |
13.700952770207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8580b1 |
Quadratic twists by: 13 |