Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730i |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-683127153765000000 = -1 · 26 · 39 · 57 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38587,-39642483] |
[a1,a2,a3,a4,a6] |
Generators |
[17852022:527401745:19683] |
Generators of the group modulo torsion |
j |
54005865593399/5806485000000 |
j-invariant |
L |
3.4220826919412 |
L(r)(E,1)/r! |
Ω |
0.13592933198177 |
Real period |
R |
12.587727194171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770d1 |
Quadratic twists by: -7 |