Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ep |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3677184 |
Modular degree for the optimal curve |
Δ |
-4.0170026572207E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1698079,-452755071] |
[a1,a2,a3,a4,a6] |
Generators |
[172459:7880704:343] |
Generators of the group modulo torsion |
j |
358321516679/265814016 |
j-invariant |
L |
3.4555515951019 |
L(r)(E,1)/r! |
Ω |
0.094382447419748 |
Real period |
R |
4.5765284782397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997899102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304cm1 30576cj1 122304ha1 |
Quadratic twists by: -4 8 -7 |