Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840di |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4510080000 = -1 · 210 · 35 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-761,-8961] |
[a1,a2,a3,a4,a6] |
Generators |
[34:75:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
6.4835733852263 |
L(r)(E,1)/r! |
Ω |
0.45206137818696 |
Real period |
R |
1.4342241337292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840e1 6960bd1 83520gi1 |
Quadratic twists by: -4 8 -3 |