Atkin-Lehner |
2+ 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410h |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7864320 |
Modular degree for the optimal curve |
Δ |
-1.3163245665941E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1551969,5570331133] |
[a1,a2,a3,a4,a6] |
Generators |
[3429:199676:1] |
Generators of the group modulo torsion |
j |
-567081484567806017809/18056578416928358400 |
j-invariant |
L |
5.857213867712 |
L(r)(E,1)/r! |
Ω |
0.10512758596681 |
Real period |
R |
6.9644111340799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bb1 |
Quadratic twists by: -3 |