Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5415j |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
24624 |
Modular degree for the optimal curve |
Δ |
1547627182111125 = 36 · 53 · 198 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-77735,-8150461] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:382:1] |
Generators of the group modulo torsion |
j |
3058794496/91125 |
j-invariant |
L |
4.1469901361021 |
L(r)(E,1)/r! |
Ω |
0.2864417344644 |
Real period |
R |
2.4129340788138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86640cj1 16245a1 27075a1 5415e1 |
Quadratic twists by: -4 -3 5 -19 |