Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968fc |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-46782776277168624 = -1 · 24 · 311 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75867,6603091] |
[a1,a2,a3,a4,a6] |
Generators |
[170:4941:1] [2178:102487:1] |
Generators of the group modulo torsion |
j |
1755904/1701 |
j-invariant |
L |
11.793036007672 |
L(r)(E,1)/r! |
Ω |
0.23548988867639 |
Real period |
R |
6.2598420204284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492j1 40656cw1 121968dj1 |
Quadratic twists by: -4 -3 -11 |