Atkin-Lehner |
2+ 3+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354d |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
-2.438370762811E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40394607,257320487213] |
[a1,a2,a3,a4,a6] |
Generators |
[-2018:576001:1] |
Generators of the group modulo torsion |
j |
-370341675761367757147875/1238820689331384011776 |
j-invariant |
L |
4.6583637324827 |
L(r)(E,1)/r! |
Ω |
0.05900871619852 |
Real period |
R |
1.0964396566433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999624133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354bf1 |
Quadratic twists by: -3 |