Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813j |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
54362917788634377 = 318 · 134 · 173 |
Discriminant |
Eigenvalues |
1 3- -4 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1685349,842484024] |
[a1,a2,a3,a4,a6] |
j |
147815204204011553/15178486401 |
j-invariant |
L |
0.67869851430962 |
L(r)(E,1)/r! |
Ω |
0.33934925715574 |
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 |
11271e1 33813h1 |
Quadratic twists by: -3 17 |