Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786x |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-606068403862896 = -1 · 24 · 39 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15176,1389691] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:15547:8] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
9.5636639011532 |
L(r)(E,1)/r! |
Ω |
0.46200456208326 |
Real period |
R |
5.1750916414985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786b1 234b1 |
Quadratic twists by: -3 -23 |