Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bs |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6159124840680000 = 26 · 316 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-413348,-102114169] |
[a1,a2,a3,a4,a6] |
Generators |
[-365:357:1] |
Generators of the group modulo torsion |
j |
10713779912717312761/8448730920000 |
j-invariant |
L |
7.7988482156824 |
L(r)(E,1)/r! |
Ω |
0.18829606123663 |
Real period |
R |
1.7257504318065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330j1 |
Quadratic twists by: -3 |