Atkin-Lehner |
3+ 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
20445c |
Isogeny class |
Conductor |
20445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
-37397482875 = -1 · 32 · 53 · 294 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 2 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3165,-68119] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6307:1] |
Generators of the group modulo torsion |
j |
-3507373899513856/37397482875 |
j-invariant |
L |
3.5998489602452 |
L(r)(E,1)/r! |
Ω |
0.31804510220029 |
Real period |
R |
0.9432228676952 |
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 |
61335h1 102225l1 |
Quadratic twists by: -3 5 |