Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010db |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
105460563600 = 24 · 33 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1961,29385] |
[a1,a2,a3,a4,a6] |
Generators |
[4:145:1] |
Generators of the group modulo torsion |
j |
7088952961/896400 |
j-invariant |
L |
13.301571356871 |
L(r)(E,1)/r! |
Ω |
1.0215568902583 |
Real period |
R |
0.54253673136738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490g1 |
Quadratic twists by: -7 |