Atkin-Lehner |
3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bk |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-956527369875 = -1 · 312 · 53 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11- 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2283,-21245] |
[a1,a2,a3,a4,a6] |
j |
1805152587776/1312108875 |
j-invariant |
L |
5.9401828616537 |
L(r)(E,1)/r! |
Ω |
0.49501523879689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635d1 |
Quadratic twists by: -3 |