Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680t |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51573415495680 = 211 · 318 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27147,1686566] |
[a1,a2,a3,a4,a6] |
Generators |
[1090:5753:8] |
Generators of the group modulo torsion |
j |
1481943889298/34543665 |
j-invariant |
L |
3.9000713870072 |
L(r)(E,1)/r! |
Ω |
0.63127132026553 |
Real period |
R |
6.1781222460205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360t3 37440bd3 1560a3 23400g3 |
Quadratic twists by: -4 8 -3 5 |