Atkin-Lehner |
5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775j |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1442812744140625 = -1 · 512 · 112 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11- 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1745,1826872] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1246:1] |
Generators of the group modulo torsion |
j |
37629052551/92340015625 |
j-invariant |
L |
4.1835740951146 |
L(r)(E,1)/r! |
Ω |
0.3758837761562 |
Real period |
R |
1.3912458985029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155e2 |
Quadratic twists by: 5 |