Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360u |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
283392 |
Modular degree for the optimal curve |
Δ |
-1338284965888000 = -1 · 230 · 53 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33040,-2894400] |
[a1,a2,a3,a4,a6] |
Generators |
[41985720:-812404736:91125] |
Generators of the group modulo torsion |
j |
-973861113148561/326729728000 |
j-invariant |
L |
9.8757922469747 |
L(r)(E,1)/r! |
Ω |
0.17409625554075 |
Real period |
R |
9.4543410448847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670i1 |
Quadratic twists by: -4 |