Atkin-Lehner |
2- 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cj |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
1386 |
Product of Tamagawa factors cp |
deg |
64576512 |
Modular degree for the optimal curve |
Δ |
-2.2257817997657E+28 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-170992330,-7229300179703] |
[a1,a2,a3,a4,a6] |
Generators |
[75409:20178295:1] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
9.9713487883515 |
L(r)(E,1)/r! |
Ω |
0.01666159156307 |
Real period |
R |
0.43179160300628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: 5 |