Atkin-Lehner |
2- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710bc |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-1251330926014000 = -1 · 24 · 53 · 139 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20350730,35334362452] |
[a1,a2,a3,a4,a6] |
Generators |
[2614:-462:1] [21822:76969:8] |
Generators of the group modulo torsion |
j |
-193109472180150844969/259246000 |
j-invariant |
L |
12.89519181409 |
L(r)(E,1)/r! |
Ω |
0.30925562833765 |
Real period |
R |
0.8686982705348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670a1 |
Quadratic twists by: 13 |