Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bh |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1953640000 = -1 · 26 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -6 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,2134] |
[a1,a2,a3,a4,a6] |
Generators |
[5:52:1] [57:442:1] |
Generators of the group modulo torsion |
j |
1012048064/30525625 |
j-invariant |
L |
5.9214757832647 |
L(r)(E,1)/r! |
Ω |
1.1122869474523 |
Real period |
R |
2.6618471954778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bg1 35360e2 |
Quadratic twists by: -4 8 |