Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4002h |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-23563776 = -1 · 29 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -4 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,65,-91] |
[a1,a2,a3,a4,a6] |
Generators |
[19:82:1] |
Generators of the group modulo torsion |
j |
30342134159/23563776 |
j-invariant |
L |
4.7617105195022 |
L(r)(E,1)/r! |
Ω |
1.1889585976389 |
Real period |
R |
0.22249679158804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32016x1 128064bm1 12006d1 100050u1 |
Quadratic twists by: -4 8 -3 5 |