Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760bi |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
4.4462934002607E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117065443,476845920738] |
[a1,a2,a3,a4,a6] |
Generators |
[19847952:626075415:4096] |
Generators of the group modulo torsion |
j |
18370278334948779/460366807040 |
j-invariant |
L |
6.0046399998215 |
L(r)(E,1)/r! |
Ω |
0.07736911958837 |
Real period |
R |
12.93504874604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470a1 67760w1 |
Quadratic twists by: -4 -11 |