Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528bz |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
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] |
j |
-235298/159 |
j-invariant |
L |
4.5937882648196 |
L(r)(E,1)/r! |
Ω |
1.1484470662056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528z1 7632b1 10176s1 |
Quadratic twists by: -4 8 -3 |