Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128s |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
142464 |
Modular degree for the optimal curve |
Δ |
456018818304 = 28 · 3 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2172,-20796] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:98:1] [-26:132:1] |
Generators of the group modulo torsion |
j |
768208/309 |
j-invariant |
L |
8.7286542470216 |
L(r)(E,1)/r! |
Ω |
0.72413660449652 |
Real period |
R |
1.0044898287666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128bf1 |
Quadratic twists by: -7 |