Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848h |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-637094780113664 = -1 · 28 · 597 |
Discriminant |
Eigenvalues |
2- -1 -1 1 -4 -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961916,363445924] |
[a1,a2,a3,a4,a6] |
Generators |
[728:6962:1] |
Generators of the group modulo torsion |
j |
-9115564624/59 |
j-invariant |
L |
3.2944452828095 |
L(r)(E,1)/r! |
Ω |
0.45748644852187 |
Real period |
R |
0.90014832500881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696f1 472b1 |
Quadratic twists by: -4 -59 |