Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cd |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-22883116518400 = -1 · 210 · 52 · 197 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6739,89635] |
[a1,a2,a3,a4,a6] |
Generators |
[6:361:1] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
1.4356710672999 |
L(r)(E,1)/r! |
Ω |
0.42580594931399 |
Real period |
R |
0.84291397396727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994970944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520m1 28880j1 6080m1 |
Quadratic twists by: -4 8 -19 |