Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275b |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-2.5957710183019E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ -5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-463050,273488906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16537:1] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
4.8030650217259 |
L(r)(E,1)/r! |
Ω |
0.18753984997777 |
Real period |
R |
1.0671209883216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999590572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275h1 4851a1 121275p1 |
Quadratic twists by: -3 5 -7 |