Atkin-Lehner |
3+ 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925i |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
371520 |
Modular degree for the optimal curve |
Δ |
-2644177141875 = -1 · 3 · 54 · 172 · 474 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 6 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-90533,-10454932] |
[a1,a2,a3,a4,a6] |
j |
-131301360900505600/4230683427 |
j-invariant |
L |
1.6513831115835 |
L(r)(E,1)/r! |
Ω |
0.13761525895704 |
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 |
59925u1 |
Quadratic twists by: 5 |