Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cp |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-93733399816875 = -1 · 37 · 54 · 74 · 134 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-60558,5734694] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-2867:1] [173:682:1] |
Generators of the group modulo torsion |
j |
-1375916339200/5250987 |
j-invariant |
L |
6.875593529435 |
L(r)(E,1)/r! |
Ω |
0.6043081061008 |
Real period |
R |
0.045149322063646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725j1 88725cd1 |
Quadratic twists by: 5 13 |