Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080bi |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
371253184400000000 = 210 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210520,22935900] |
[a1,a2,a3,a4,a6] |
Generators |
[30:4080:1] |
Generators of the group modulo torsion |
j |
8564808605476/3081640625 |
j-invariant |
L |
8.1705989072161 |
L(r)(E,1)/r! |
Ω |
0.27633610055442 |
Real period |
R |
3.6959516377077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160bh1 6440f1 |
Quadratic twists by: -4 -7 |