Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800t |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-4.74351505988E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -2 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5609008,5217419488] |
[a1,a2,a3,a4,a6] |
Generators |
[723:39250:1] [18303:2456500:1] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
10.244562851705 |
L(r)(E,1)/r! |
Ω |
0.16592870252273 |
Real period |
R |
7.7175939846098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600f1 11560c1 57800u1 |
Quadratic twists by: -4 5 17 |