Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312n |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6044931713103560704 = -1 · 219 · 714 · 17 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,411796,60395440] |
[a1,a2,a3,a4,a6] |
j |
250404380127/196003234 |
j-invariant |
L |
2.4575063554837 |
L(r)(E,1)/r! |
Ω |
0.15359414731521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312bs3 1666k4 7616e4 |
Quadratic twists by: -4 8 -7 |