Atkin-Lehner |
2- 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010bm |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
2.6788670523418E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2014636,-769791667] |
[a1,a2,a3,a4,a6] |
Generators |
[-1163:1953:1] |
Generators of the group modulo torsion |
j |
7686440259227699761/2276999424000000 |
j-invariant |
L |
9.8456873972525 |
L(r)(E,1)/r! |
Ω |
0.12961197813547 |
Real period |
R |
2.7129567629556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bk1 |
Quadratic twists by: -7 |