Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646t |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-241016328687718008 = -1 · 23 · 325 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 5 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-234500,49740639] |
[a1,a2,a3,a4,a6] |
j |
-1956243846137829625/330612247856952 |
j-invariant |
L |
3.6127139690714 |
L(r)(E,1)/r! |
Ω |
0.30105949742262 |
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 |
6882b1 |
Quadratic twists by: -3 |