Atkin-Lehner |
2+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600j |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2465280 |
Modular degree for the optimal curve |
Δ |
-15742187500000000 = -1 · 28 · 516 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10376033,12868026437] |
[a1,a2,a3,a4,a6] |
Generators |
[1861:78:1] |
Generators of the group modulo torsion |
j |
-30885724667700265984/3935546875 |
j-invariant |
L |
8.6182004491014 |
L(r)(E,1)/r! |
Ω |
0.30502292299286 |
Real period |
R |
3.531783924837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120e1 |
Quadratic twists by: 5 |