Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415k |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
265379717112406875 = 312 · 54 · 117 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-336988,71071163] |
[a1,a2,a3,a4,a6] |
Generators |
[409:1100:1] |
Generators of the group modulo torsion |
j |
2388960983460241/149799931875 |
j-invariant |
L |
10.670348382324 |
L(r)(E,1)/r! |
Ω |
0.30484202757375 |
Real period |
R |
2.9169065223166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6765f3 |
Quadratic twists by: -11 |