Atkin-Lehner |
2- 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bk |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
13815360000000 = 212 · 34 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-112963,14565281] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:4872:1] [-205:5502:1] |
Generators of the group modulo torsion |
j |
10202640382603369/884183040 |
j-invariant |
L |
13.357852149339 |
L(r)(E,1)/r! |
Ω |
0.673969167481 |
Real period |
R |
3.3032797329422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999486 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15990g1 |
Quadratic twists by: 5 |