Atkin-Lehner |
2+ 3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370h |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-42608959200000 = -1 · 28 · 33 · 55 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6666,-235660] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-8:1] [44:354:1] |
Generators of the group modulo torsion |
j |
1213163200507077/1578109600000 |
j-invariant |
L |
7.9945475771867 |
L(r)(E,1)/r! |
Ω |
0.3429791974258 |
Real period |
R |
0.38848554262584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370bc1 |
Quadratic twists by: -3 |