Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275y |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
3439283203125 = 33 · 59 · 72 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4200,54906] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2062:1] |
Generators of the group modulo torsion |
j |
396361728/166375 |
j-invariant |
L |
4.9115438767752 |
L(r)(E,1)/r! |
Ω |
0.71635929362661 |
Real period |
R |
0.28567739687018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275m2 24255i1 121275g1 |
Quadratic twists by: -3 5 -7 |