Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490ba |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-896903280 = -1 · 24 · 36 · 5 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-459,4006] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-24:1] |
Generators of the group modulo torsion |
j |
-4852559557/408240 |
j-invariant |
L |
4.6435917201391 |
L(r)(E,1)/r! |
Ω |
1.54308436048 |
Real period |
R |
0.50154869894198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fl1 35490dw1 |
Quadratic twists by: -3 13 |