Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bm |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1826838664635168000 = -1 · 28 · 36 · 53 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,243164,-45892964] |
[a1,a2,a3,a4,a6] |
Generators |
[11545178748:-270524545595:42144192] |
Generators of the group modulo torsion |
j |
41957807024/48205125 |
j-invariant |
L |
3.8332745564552 |
L(r)(E,1)/r! |
Ω |
0.14218241755008 |
Real period |
R |
13.480128434768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740h2 5520v2 |
Quadratic twists by: -4 -23 |