Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878y |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
987753091248 = 24 · 39 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112754,-14544575] |
[a1,a2,a3,a4,a6] |
Generators |
[475:5999:1] |
Generators of the group modulo torsion |
j |
8054242132333851/50183056 |
j-invariant |
L |
9.0271620275532 |
L(r)(E,1)/r! |
Ω |
0.26053557250221 |
Real period |
R |
2.1655301090115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31878b2 |
Quadratic twists by: -3 |