Atkin-Lehner |
2- 3+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bc |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-31061931256800000 = -1 · 28 · 39 · 55 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59992,6302827] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:905:1] |
Generators of the group modulo torsion |
j |
1213163200507077/1578109600000 |
j-invariant |
L |
10.57227133618 |
L(r)(E,1)/r! |
Ω |
0.24947750948117 |
Real period |
R |
2.6486033140532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370h1 |
Quadratic twists by: -3 |