Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968v |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
3905399138256 = 24 · 39 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6534,-179685] |
[a1,a2,a3,a4,a6] |
Generators |
[27656413319:-486978139430:83453453] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
9.6871587449631 |
L(r)(E,1)/r! |
Ω |
0.53543287098702 |
Real period |
R |
18.09220015759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bp1 121968x1 1008a1 |
Quadratic twists by: -4 -3 -11 |