Atkin-Lehner |
2+ 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bc |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-267863750 = -1 · 2 · 54 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,1048] |
[a1,a2,a3,a4,a6] |
j |
-603439225/428582 |
j-invariant |
L |
1.6052200210875 |
L(r)(E,1)/r! |
Ω |
1.6052200431682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88550bq1 |
Quadratic twists by: 5 |