Atkin-Lehner |
2+ 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760o |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2442240 |
Modular degree for the optimal curve |
Δ |
-1.6574469309625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344028,-210710828] |
[a1,a2,a3,a4,a6] |
Generators |
[1134:29282:1] |
Generators of the group modulo torsion |
j |
-24128903723324416/88812099781515 |
j-invariant |
L |
7.5585102352925 |
L(r)(E,1)/r! |
Ω |
0.090287455153945 |
Real period |
R |
1.1627230920748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40920bg1 |
Quadratic twists by: -3 |