Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864k |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33395269130496 = 28 · 38 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23079,-1320550] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:121030:1] |
Generators of the group modulo torsion |
j |
61918288/1521 |
j-invariant |
L |
7.1540834674291 |
L(r)(E,1)/r! |
Ω |
0.38792306042847 |
Real period |
R |
4.6105041161511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91728w2 15288v2 936e2 |
Quadratic twists by: -4 -3 -7 |