Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650be |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-914227200000000 = -1 · 223 · 32 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23237,-497719] |
[a1,a2,a3,a4,a6] |
Generators |
[35:582:1] |
Generators of the group modulo torsion |
j |
3552243132335/2340421632 |
j-invariant |
L |
4.7746719356931 |
L(r)(E,1)/r! |
Ω |
0.2835661398202 |
Real period |
R |
0.12201411642347 |
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 |
37200dv1 13950bf1 4650n1 |
Quadratic twists by: -4 -3 5 |