Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560y |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1488871711969200 = -1 · 24 · 33 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28505,-114100] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1464:1] |
Generators of the group modulo torsion |
j |
33165879296/19278675 |
j-invariant |
L |
7.7968901906214 |
L(r)(E,1)/r! |
Ω |
0.28278710390925 |
Real period |
R |
4.5952650614991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280g1 121680l1 3120g1 |
Quadratic twists by: -4 -3 13 |