Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528d |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1500512256 = -1 · 220 · 33 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,1840] |
[a1,a2,a3,a4,a6] |
j |
9261/212 |
j-invariant |
L |
2.2620728343485 |
L(r)(E,1)/r! |
Ω |
1.1310364171762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30528bf1 954g1 30528b1 |
Quadratic twists by: -4 8 -3 |