Atkin-Lehner |
5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3355a |
Isogeny class |
Conductor |
3355 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-312098875 = -1 · 53 · 11 · 613 |
Discriminant |
Eigenvalues |
0 -2 5+ -4 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,99,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[19:91:1] |
Generators of the group modulo torsion |
j |
106227040256/312098875 |
j-invariant |
L |
1.391341291622 |
L(r)(E,1)/r! |
Ω |
0.88228446649109 |
Real period |
R |
0.52565861482878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53680r2 30195o2 16775b2 36905a2 |
Quadratic twists by: -4 -3 5 -11 |