Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dg |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-108844707840 = -1 · 212 · 3 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,15860] |
[a1,a2,a3,a4,a6] |
Generators |
[66:3392:27] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
7.5979013165299 |
L(r)(E,1)/r! |
Ω |
0.84459541302682 |
Real period |
R |
4.4979532207621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1815a1 116160ez1 87120dz1 240d1 |
Quadratic twists by: -4 8 -3 -11 |