Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800l |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
995588000000000 = 211 · 59 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2267675,1314374250] |
[a1,a2,a3,a4,a6] |
Generators |
[7122:8541:8] |
Generators of the group modulo torsion |
j |
40301032281655122/31112125 |
j-invariant |
L |
5.1491981373245 |
L(r)(E,1)/r! |
Ω |
0.41083961346952 |
Real period |
R |
6.2666767848037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002544 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37400n4 14960b4 |
Quadratic twists by: -4 5 |