Atkin-Lehner |
2+ 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bg |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
46871361600 = 26 · 3 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,1418] |
[a1,a2,a3,a4,a6] |
Generators |
[32:57:1] |
Generators of the group modulo torsion |
j |
702595369/398400 |
j-invariant |
L |
7.1399550805837 |
L(r)(E,1)/r! |
Ω |
0.97482380778358 |
Real period |
R |
1.8310885881604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490a1 |
Quadratic twists by: -7 |