Atkin-Lehner |
3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829c |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
175395952809 = 32 · 76 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1936,25075] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1817:8] |
Generators of the group modulo torsion |
j |
6826561273/1490841 |
j-invariant |
L |
5.5050831862425 |
L(r)(E,1)/r! |
Ω |
0.95824106575946 |
Real period |
R |
2.8724938760577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1221a2 |
Quadratic twists by: -7 |