Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088d |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
358720 |
Modular degree for the optimal curve |
Δ |
-4295618632834048 = -1 · 210 · 13 · 199 |
Discriminant |
Eigenvalues |
2+ 2 0 2 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11432,3114240] |
[a1,a2,a3,a4,a6] |
Generators |
[-3626807268:-59151704788:45499293] |
Generators of the group modulo torsion |
j |
500/13 |
j-invariant |
L |
10.614075210912 |
L(r)(E,1)/r! |
Ω |
0.32847055194721 |
Real period |
R |
16.156813978578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37544i1 75088g1 |
Quadratic twists by: -4 -19 |