Atkin-Lehner |
3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685l |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1732608 |
Modular degree for the optimal curve |
Δ |
-8239363669448949375 = -1 · 39 · 54 · 13 · 616 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17023509,27039320640] |
[a1,a2,a3,a4,a6] |
j |
-748416669822269782893649/11302282125444375 |
j-invariant |
L |
2.5563202009104 |
L(r)(E,1)/r! |
Ω |
0.21302668340993 |
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 |
11895h1 |
Quadratic twists by: -3 |