Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gd |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
68286468096 = 212 · 39 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1056,-4048] |
[a1,a2,a3,a4,a6] |
Generators |
[-1195:8991:125] |
Generators of the group modulo torsion |
j |
360448/189 |
j-invariant |
L |
10.023102970932 |
L(r)(E,1)/r! |
Ω |
0.88772994444992 |
Real period |
R |
5.6453558873021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623e1 40656bx1 121968es1 |
Quadratic twists by: -4 -3 -11 |