Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114268g |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-270364807419128576 = -1 · 28 · 710 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,161635,-436129] |
[a1,a2,a3,a4,a6] |
Generators |
[149:5194:1] |
Generators of the group modulo torsion |
j |
15505973682176/8976808379 |
j-invariant |
L |
8.8084624267603 |
L(r)(E,1)/r! |
Ω |
0.18445412891108 |
Real period |
R |
1.326506014209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324h1 |
Quadratic twists by: -7 |