Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404c |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-191760340464 = -1 · 24 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3381,-78547] |
[a1,a2,a3,a4,a6] |
Generators |
[77:343:1] |
Generators of the group modulo torsion |
j |
-84098304/3773 |
j-invariant |
L |
6.2997945893952 |
L(r)(E,1)/r! |
Ω |
0.31222743520201 |
Real period |
R |
0.84070588177164 |
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 |
77616dz1 19404g2 2772c1 |
Quadratic twists by: -4 -3 -7 |