Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560g |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5272800000 = -1 · 28 · 3 · 55 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 13- 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1681,27325] |
[a1,a2,a3,a4,a6] |
j |
-934577152/9375 |
j-invariant |
L |
2.7316440138397 |
L(r)(E,1)/r! |
Ω |
1.3658220069685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280ba1 121680cb1 40560n1 |
Quadratic twists by: -4 -3 13 |