Atkin-Lehner |
2- 3- 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
108630k |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
42430059072322560 = 210 · 39 · 5 · 174 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6631673,-6571623783] |
[a1,a2,a3,a4,a6] |
Generators |
[4367:216300:1] |
Generators of the group modulo torsion |
j |
44245125670091056293961/58203098864640 |
j-invariant |
L |
12.370923312198 |
L(r)(E,1)/r! |
Ω |
0.094079243857226 |
Real period |
R |
3.2873678634031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210j2 |
Quadratic twists by: -3 |