Atkin-Lehner |
3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477f |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
11178184437 = 35 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 0 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-898,-8730] |
[a1,a2,a3,a4,a6] |
j |
681472000/95013 |
j-invariant |
L |
0.88012530184506 |
L(r)(E,1)/r! |
Ω |
0.88012530117591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173f1 |
Quadratic twists by: -7 |