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 |
deg |
4890240 |
Modular degree for the optimal curve |
Δ |
-8.175975979137E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12495000,17055713281] |
[a1,a2,a3,a4,a6] |
j |
-12621552025600/47832147 |
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 |
40425h1 121275ew1 121275cy1 |
Quadratic twists by: -3 5 -7 |