Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35224d |
Isogeny class |
Conductor |
35224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
9017344 = 211 · 7 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -6 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,614] |
[a1,a2,a3,a4,a6] |
j |
145023426/4403 |
j-invariant |
L |
2.301134182684 |
L(r)(E,1)/r! |
Ω |
2.3011341827037 |
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 |
70448b1 |
Quadratic twists by: -4 |