Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6846336 |
Modular degree for the optimal curve |
Δ |
-6.1561305470047E+21 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24490200,-46800877244] |
[a1,a2,a3,a4,a6] |
j |
-12621552025600/47832147 |
j-invariant |
L |
0.81420500670234 |
L(r)(E,1)/r! |
Ω |
0.033925242509824 |
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 |
40425bl1 121275cy1 121275ew1 |
Quadratic twists by: -3 5 -7 |