Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dl |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
165099782925 = 36 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2205,-34729] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:535:8] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
14.340442162992 |
L(r)(E,1)/r! |
Ω |
0.70314718893398 |
Real period |
R |
2.549331475242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475k1 121275gf1 17325bb1 |
Quadratic twists by: -3 5 -7 |