Atkin-Lehner |
3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475j |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-59970234375 = -1 · 32 · 57 · 19 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1626,-27977] |
[a1,a2,a3,a4,a6] |
Generators |
[47188:1255949:64] |
Generators of the group modulo torsion |
j |
-30400540561/3838095 |
j-invariant |
L |
11.043231744375 |
L(r)(E,1)/r! |
Ω |
0.37330760980032 |
Real period |
R |
7.3955308356616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095c1 |
Quadratic twists by: 5 |