Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370j |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1318268925000 = 23 · 310 · 55 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3015,-31019] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:83:1] |
Generators of the group modulo torsion |
j |
4158523459441/1808325000 |
j-invariant |
L |
3.8321867636849 |
L(r)(E,1)/r! |
Ω |
0.67035339217163 |
Real period |
R |
2.8583332360019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790s1 |
Quadratic twists by: -3 |