Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782h |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-2625953071104 = -1 · 224 · 33 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1895,-71044] |
[a1,a2,a3,a4,a6] |
j |
753148747892087/2625953071104 |
j-invariant |
L |
2.47644626413 |
L(r)(E,1)/r! |
Ω |
0.41274104402319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346bx1 |
Quadratic twists by: -3 |