Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dt |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
2.5107304051917E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1566145,714310975] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:34300:1] |
Generators of the group modulo torsion |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
9.3801688978006 |
L(r)(E,1)/r! |
Ω |
0.20891141504776 |
Real period |
R |
0.40818383567487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440bb1 17360f1 |
Quadratic twists by: -4 8 |