Atkin-Lehner |
3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123969a |
Isogeny class |
Conductor |
123969 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-81923358746874987 = -1 · 33 · 316 · 434 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,101366,5986747] |
[a1,a2,a3,a4,a6] |
Generators |
[3386295782:88820833955:7189057] |
Generators of the group modulo torsion |
j |
129784785047/92307627 |
j-invariant |
L |
9.375924016894 |
L(r)(E,1)/r! |
Ω |
0.21702580163547 |
Real period |
R |
10.800471733454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998644591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129b4 |
Quadratic twists by: -31 |