Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610ba |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-317504000000000 = -1 · 215 · 59 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24670,1718212] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:-1582:1] |
Generators of the group modulo torsion |
j |
-13722931343169961/2624000000000 |
j-invariant |
L |
12.327597781669 |
L(r)(E,1)/r! |
Ω |
0.52144768391204 |
Real period |
R |
0.17511927263427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610j1 |
Quadratic twists by: -11 |