Atkin-Lehner |
2- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36260l |
Isogeny class |
Conductor |
36260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-126910000 = -1 · 24 · 54 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-539] |
[a1,a2,a3,a4,a6] |
j |
442368/23125 |
j-invariant |
L |
1.7748369742303 |
L(r)(E,1)/r! |
Ω |
0.88741848711554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36260a1 |
Quadratic twists by: -7 |