Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cu |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
485760 |
Modular degree for the optimal curve |
Δ |
-2.9113854244946E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,616720,-180827053] |
[a1,a2,a3,a4,a6] |
Generators |
[3069:173425:1] |
Generators of the group modulo torsion |
j |
56935209711531575/63898719879168 |
j-invariant |
L |
7.9713503712499 |
L(r)(E,1)/r! |
Ω |
0.11307500814263 |
Real period |
R |
0.25542075758445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450q1 19350m1 |
Quadratic twists by: -3 5 |