Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560n |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-25450798495200000 = -1 · 28 · 3 · 55 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284145,58896525] |
[a1,a2,a3,a4,a6] |
Generators |
[620:10985:1] |
Generators of the group modulo torsion |
j |
-934577152/9375 |
j-invariant |
L |
4.5653241579935 |
L(r)(E,1)/r! |
Ω |
0.37881086763708 |
Real period |
R |
1.2051724351173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280n1 121680bd1 40560g1 |
Quadratic twists by: -4 -3 13 |