Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bp |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-15649368280229376 = -1 · 29 · 37 · 73 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31846,-5615143] |
[a1,a2,a3,a4,a6] |
Generators |
[129:727:1] |
Generators of the group modulo torsion |
j |
4899746835008423/21466897503744 |
j-invariant |
L |
7.1661966519465 |
L(r)(E,1)/r! |
Ω |
0.19842234941513 |
Real period |
R |
1.0032187336577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10626f2 |
Quadratic twists by: -3 |