Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878u |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33673400838 = 2 · 310 · 72 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-558612,-160559550] |
[a1,a2,a3,a4,a6] |
Generators |
[2539:120320:1] |
Generators of the group modulo torsion |
j |
26444015547214434625/46191222 |
j-invariant |
L |
4.4905788611762 |
L(r)(E,1)/r! |
Ω |
0.17463124613431 |
Real period |
R |
6.4286589035194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626q2 |
Quadratic twists by: -3 |