Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bu |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
-1.1250232222276E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242664192,1455934099216] |
[a1,a2,a3,a4,a6] |
Generators |
[12164:-557332:1] |
Generators of the group modulo torsion |
j |
-138737302436738811629881/98767470812850000 |
j-invariant |
L |
5.6417977490703 |
L(r)(E,1)/r! |
Ω |
0.086175892874859 |
Real period |
R |
0.37197954339656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999205843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cc1 23310bl1 |
Quadratic twists by: -3 5 |