Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bi |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-890055128877783561 = -1 · 312 · 712 · 112 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11- -5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1420029,653254146] |
[a1,a2,a3,a4,a6] |
j |
-30515071121161/85766121 |
j-invariant |
L |
1.1253966596067 |
L(r)(E,1)/r! |
Ω |
0.28134916568489 |
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 |
17787t1 7623n1 53361bn1 |
Quadratic twists by: -3 -7 -11 |