Atkin-Lehner |
5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67925j |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3247631161328125 = -1 · 58 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 11+ 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30162,-1855583] |
[a1,a2,a3,a4,a6] |
Generators |
[3646:80777:8] |
Generators of the group modulo torsion |
j |
194215189549031/207848394325 |
j-invariant |
L |
2.9540303658629 |
L(r)(E,1)/r! |
Ω |
0.24224545621528 |
Real period |
R |
6.0971842597816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13585e2 |
Quadratic twists by: 5 |