Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bs |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-46390458182871600 = -1 · 24 · 32 · 52 · 714 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30609,-10145430] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3144:1] |
Generators of the group modulo torsion |
j |
1684801439744/24644524275 |
j-invariant |
L |
7.6388646871934 |
L(r)(E,1)/r! |
Ω |
0.1754653928669 |
Real period |
R |
5.4418599215173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960m1 |
Quadratic twists by: -7 |