Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cq |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-6705656928000 = -1 · 28 · 38 · 53 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1167,-123543] |
[a1,a2,a3,a4,a6] |
Generators |
[66:459:1] |
Generators of the group modulo torsion |
j |
1406057262427/53645255424 |
j-invariant |
L |
11.792173128658 |
L(r)(E,1)/r! |
Ω |
0.36021822630707 |
Real period |
R |
0.51150300316768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116850r1 |
Quadratic twists by: 5 |