Atkin-Lehner |
2- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9028b |
Isogeny class |
Conductor |
9028 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-29266898176 = -1 · 28 · 374 · 61 |
Discriminant |
Eigenvalues |
2- 0 1 -1 -3 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1247,-18842] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2738:1] |
Generators of the group modulo torsion |
j |
-837689568336/114323821 |
j-invariant |
L |
4.2511987916777 |
L(r)(E,1)/r! |
Ω |
0.39867527857001 |
Real period |
R |
1.7772186288743 |
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 |
36112e1 81252f1 |
Quadratic twists by: -4 -3 |