Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872s |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
3788998711835904 = 28 · 33 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44612,-2108496] |
[a1,a2,a3,a4,a6] |
j |
489808/189 |
j-invariant |
L |
2.0365306213929 |
L(r)(E,1)/r! |
Ω |
0.33942176997296 |
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 |
88872m1 |
Quadratic twists by: -23 |