Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528z |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-15192686592 = -1 · 217 · 37 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -5 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-8080] |
[a1,a2,a3,a4,a6] |
Generators |
[40:180:1] |
Generators of the group modulo torsion |
j |
-235298/159 |
j-invariant |
L |
7.326995791973 |
L(r)(E,1)/r! |
Ω |
0.47059181385964 |
Real period |
R |
1.9462184573185 |
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 |
30528bz1 3816b1 10176c1 |
Quadratic twists by: -4 8 -3 |