Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618l |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
208926052608 = 28 · 3 · 73 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1670,-15084] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:114:1] |
Generators of the group modulo torsion |
j |
1503091021375/609113856 |
j-invariant |
L |
2.88478387721 |
L(r)(E,1)/r! |
Ω |
0.77360570385541 |
Real period |
R |
0.62150176834862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618ba1 |
Quadratic twists by: -7 |