Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ck |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6204779560546875 = -1 · 37 · 510 · 74 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1013013750,12409981210156] |
[a1,a2,a3,a4,a6] |
j |
-6725893729610137600/363 |
j-invariant |
L |
1.2762957563762 |
L(r)(E,1)/r! |
Ω |
0.15953703719915 |
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 |
40425h2 121275ew2 121275cy2 |
Quadratic twists by: -3 5 -7 |