Atkin-Lehner |
2+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118408a |
Isogeny class |
Conductor |
118408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-3077321509394432 = -1 · 211 · 197 · 412 |
Discriminant |
Eigenvalues |
2+ -1 2 3 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17208,2517868] |
[a1,a2,a3,a4,a6] |
Generators |
[621:15884:1] |
Generators of the group modulo torsion |
j |
5848414/31939 |
j-invariant |
L |
7.5343325029779 |
L(r)(E,1)/r! |
Ω |
0.32435912311241 |
Real period |
R |
2.9035457803817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6232a1 |
Quadratic twists by: -19 |