Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450bf |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
7328500531200000000 = 220 · 311 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017117,372977541] |
[a1,a2,a3,a4,a6] |
Generators |
[57570:150927:125] |
Generators of the group modulo torsion |
j |
408647765658865/25735200768 |
j-invariant |
L |
4.6872613479425 |
L(r)(E,1)/r! |
Ω |
0.23117371621635 |
Real period |
R |
5.0689816998256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bq1 45450bw1 |
Quadratic twists by: -3 5 |