Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cq |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-10493177248125 = -1 · 36 · 54 · 116 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11- 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1449,-154277] |
[a1,a2,a3,a4,a6] |
Generators |
[47:111:1] |
Generators of the group modulo torsion |
j |
304175/9477 |
j-invariant |
L |
11.037464181626 |
L(r)(E,1)/r! |
Ω |
0.3481553607823 |
Real period |
R |
1.7612609904329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975h1 975k1 |
Quadratic twists by: 5 -11 |