Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bo |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1955467558800 = 24 · 37 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13680,615600] |
[a1,a2,a3,a4,a6] |
Generators |
[51:195:1] [-75:1140:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
7.5200404090324 |
L(r)(E,1)/r! |
Ω |
0.83486683944419 |
Real period |
R |
0.56296705456586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930dn1 1710h1 |
Quadratic twists by: -3 -7 |