Atkin-Lehner |
2+ 3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226h |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
189182223572832 = 25 · 310 · 76 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1306557,-574504731] |
[a1,a2,a3,a4,a6] |
Generators |
[659018305:39177654111:166375] |
Generators of the group modulo torsion |
j |
338361899193582972625/259509223008 |
j-invariant |
L |
4.6466706145206 |
L(r)(E,1)/r! |
Ω |
0.14121065543237 |
Real period |
R |
16.452974404921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742m2 |
Quadratic twists by: -3 |