Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4329b |
Isogeny class |
Conductor |
4329 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2433617319627 = -1 · 311 · 135 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 4 -3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3000,-98150] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1417:1] |
Generators of the group modulo torsion |
j |
-4096000000000/3338295363 |
j-invariant |
L |
3.3275195052471 |
L(r)(E,1)/r! |
Ω |
0.31172216752125 |
Real period |
R |
2.6686580647335 |
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 |
69264s1 1443a1 108225p1 56277d1 |
Quadratic twists by: -4 -3 5 13 |