Atkin-Lehner |
5- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
56425d |
Isogeny class |
Conductor |
56425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
-386229125 = -1 · 53 · 373 · 61 |
Discriminant |
Eigenvalues |
1 -1 5- -2 -3 -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,90,925] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-39:1] |
Generators of the group modulo torsion |
j |
633839779/3089833 |
j-invariant |
L |
3.0621852670441 |
L(r)(E,1)/r! |
Ω |
1.2145143027962 |
Real period |
R |
0.42022083229013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56425c1 |
Quadratic twists by: 5 |