Atkin-Lehner |
2+ 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150z |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
2614500000000 = 28 · 32 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12950,556500] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1095:1] |
Generators of the group modulo torsion |
j |
122985915317/1338624 |
j-invariant |
L |
4.2481492694061 |
L(r)(E,1)/r! |
Ω |
0.81395547867177 |
Real period |
R |
2.6095710263337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87150cy1 |
Quadratic twists by: 5 |