Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402l |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-105120462803918848 = -1 · 213 · 117 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 2 -2 3 11- 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575906,-762270604] |
[a1,a2,a3,a4,a6] |
Generators |
[8841779591:80667636338:5929741] |
Generators of the group modulo torsion |
j |
-244319965770456577/59337760768 |
j-invariant |
L |
6.3437585015641 |
L(r)(E,1)/r! |
Ω |
0.067372182784677 |
Real period |
R |
15.693317922816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582n1 |
Quadratic twists by: -11 |