Atkin-Lehner |
3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905l |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-1029033534375 = -1 · 33 · 55 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2473,-12474] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-276:1] |
Generators of the group modulo torsion |
j |
61972201625517/38112353125 |
j-invariant |
L |
3.5612786523172 |
L(r)(E,1)/r! |
Ω |
0.5066068680763 |
Real period |
R |
0.70296691119087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905f1 |
Quadratic twists by: -3 |