Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450bw |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
469024033996800 = 220 · 311 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40685,2991957] |
[a1,a2,a3,a4,a6] |
Generators |
[335:5016:1] |
Generators of the group modulo torsion |
j |
408647765658865/25735200768 |
j-invariant |
L |
9.2476161451584 |
L(r)(E,1)/r! |
Ω |
0.51692014407099 |
Real period |
R |
0.22362293893986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150e1 45450bf1 |
Quadratic twists by: -3 5 |