Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680br |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
241473960000 = 26 · 36 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40950,-3175848] |
[a1,a2,a3,a4,a6] |
Generators |
[244:1140:1] |
Generators of the group modulo torsion |
j |
118663201655107264/3773030625 |
j-invariant |
L |
5.8179339081944 |
L(r)(E,1)/r! |
Ω |
0.33561087332201 |
Real period |
R |
4.3338389565651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680cf1 87360gb2 |
Quadratic twists by: -4 8 |