Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bt |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30689280 |
Modular degree for the optimal curve |
Δ |
-1.0469424575073E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -1 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18237942,-158530918284] |
[a1,a2,a3,a4,a6] |
Generators |
[16472117160645393:10101182649355595316:43725816667] |
Generators of the group modulo torsion |
j |
-58898422343082781081/919126437317836800 |
j-invariant |
L |
6.4916113890712 |
L(r)(E,1)/r! |
Ω |
0.030971190182034 |
Real period |
R |
26.200201505482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050ch1 22230bk1 |
Quadratic twists by: -3 5 |