Atkin-Lehner |
2+ 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482w |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
-1.9645865002277E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26889364,-54092692846] |
[a1,a2,a3,a4,a6] |
j |
-372976062163451430649/3407899943515392 |
j-invariant |
L |
3.1805992125226 |
L(r)(E,1)/r! |
Ω |
0.033131240988619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482t1 |
Quadratic twists by: -7 |