Atkin-Lehner |
3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175r |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3946139492675390625 = -1 · 3 · 58 · 238 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,284249,-75686977] |
[a1,a2,a3,a4,a6] |
Generators |
[5471369292275460460844212416:-341152010945634432453507152503:1457049805163350704521216] |
Generators of the group modulo torsion |
j |
162555893254680479/252552927531225 |
j-invariant |
L |
10.239719981778 |
L(r)(E,1)/r! |
Ω |
0.13085370287908 |
Real period |
R |
39.126596181092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14835a4 |
Quadratic twists by: 5 |