Atkin-Lehner |
2- 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112m |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68224 |
Modular degree for the optimal curve |
Δ |
-2388474418176 = -1 · 210 · 313 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4432,-134276] |
[a1,a2,a3,a4,a6] |
j |
-9404181396292/2332494549 |
j-invariant |
L |
0.57757064885387 |
L(r)(E,1)/r! |
Ω |
0.28878532442914 |
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 |
70224ba1 105336r1 |
Quadratic twists by: -4 -3 |