Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725d |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-961959453125 = -1 · 57 · 114 · 292 |
Discriminant |
Eigenvalues |
-1 1 5+ 1 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3088,80917] |
[a1,a2,a3,a4,a6] |
Generators |
[21:149:1] [-354:3077:8] |
Generators of the group modulo torsion |
j |
-14235529/4205 |
j-invariant |
L |
8.4639512342444 |
L(r)(E,1)/r! |
Ω |
0.83477569786724 |
Real period |
R |
0.84493268234998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545c1 87725n1 |
Quadratic twists by: 5 -11 |