Atkin-Lehner |
3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575c |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
553643578125 = 32 · 56 · 11 · 713 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-175933,-28344732] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:1:1] [5258:94487:8] |
Generators of the group modulo torsion |
j |
38543227604697088/35433189 |
j-invariant |
L |
7.3051409153132 |
L(r)(E,1)/r! |
Ω |
0.23311088106955 |
Real period |
R |
15.66881151535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343g2 |
Quadratic twists by: 5 |