Atkin-Lehner |
3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175r |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
57223517206640625 = 34 · 58 · 232 · 434 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1772001,-907986977] |
[a1,a2,a3,a4,a6] |
Generators |
[287166349:7806354387:148877] |
Generators of the group modulo torsion |
j |
39381769116480683521/3662305101225 |
j-invariant |
L |
10.239719981778 |
L(r)(E,1)/r! |
Ω |
0.13085370287908 |
Real period |
R |
9.781649045273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14835a3 |
Quadratic twists by: 5 |