Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512o |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-340955953855414128 = -1 · 24 · 36 · 72 · 1110 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183231,41238531] |
[a1,a2,a3,a4,a6] |
Generators |
[33618:1127357:27] |
Generators of the group modulo torsion |
j |
-58327458934664448/29231477525327 |
j-invariant |
L |
5.5423039797842 |
L(r)(E,1)/r! |
Ω |
0.28301677581942 |
Real period |
R |
2.4478690642926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998162328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168k1 |
Quadratic twists by: -3 |