Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400df |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-276480000 = -1 · 214 · 33 · 54 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[41:261:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.2644081345743 |
L(r)(E,1)/r! |
Ω |
0.79710717164 |
Real period |
R |
3.302195941697 |
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 |
14400n1 3600bd1 14400df2 14400cs1 |
Quadratic twists by: -4 8 -3 5 |