Atkin-Lehner |
2- 3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950be |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15980006250000 = 24 · 32 · 58 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20588,-1129219] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:77:1] [-85:167:1] |
Generators of the group modulo torsion |
j |
61765716432889/1022720400 |
j-invariant |
L |
11.929647515774 |
L(r)(E,1)/r! |
Ω |
0.39896239676753 |
Real period |
R |
3.7377104999083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15990i2 |
Quadratic twists by: 5 |