Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256ca |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1.2104419301394E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3157768,2154381040] |
[a1,a2,a3,a4,a6] |
j |
850167619482740847625/2955180493504512 |
j-invariant |
L |
1.3594071000006 |
L(r)(E,1)/r! |
Ω |
0.22656785696543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282h1 |
Quadratic twists by: -4 |