Atkin-Lehner |
2+ 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080s |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-6666240 = -1 · 211 · 3 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-172] |
[a1,a2,a3,a4,a6] |
j |
-3543122/3255 |
j-invariant |
L |
3.6504288314802 |
L(r)(E,1)/r! |
Ω |
0.91260720779888 |
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 |
26040b1 |
Quadratic twists by: -4 |