Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800n |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-5485874124240000000 = -1 · 210 · 319 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897008,345569988] |
[a1,a2,a3,a4,a6] |
Generators |
[1288:36450:1] |
Generators of the group modulo torsion |
j |
-4988766332702884/342867132765 |
j-invariant |
L |
6.9041411889734 |
L(r)(E,1)/r! |
Ω |
0.23693379940841 |
Real period |
R |
0.38341495912264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400k1 14160e1 |
Quadratic twists by: -4 5 |