Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362d |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
110071145929811472 = 24 · 36 · 73 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-178285,-24255923] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:2063:1] |
Generators of the group modulo torsion |
j |
706157817625/124023312 |
j-invariant |
L |
2.4771527424817 |
L(r)(E,1)/r! |
Ω |
0.23513244031017 |
Real period |
R |
0.87792817926268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bd1 1302h1 |
Quadratic twists by: -3 -31 |