Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290eg |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-1935989670173081600 = -1 · 217 · 52 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-109810,-68402300] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:59582:1] |
Generators of the group modulo torsion |
j |
-247854343/3276800 |
j-invariant |
L |
12.875780871526 |
L(r)(E,1)/r! |
Ω |
0.11228924176552 |
Real period |
R |
0.56208922518232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290da1 59290bt1 |
Quadratic twists by: -7 -11 |