Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445m |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
2347733222253125 = 55 · 78 · 194 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 3 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300713,-63428332] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:122:1] [707:8795:1] |
Generators of the group modulo torsion |
j |
196145197056/153125 |
j-invariant |
L |
5.585403414355 |
L(r)(E,1)/r! |
Ω |
0.20388339485298 |
Real period |
R |
13.69754368312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635e1 88445t1 |
Quadratic twists by: -7 -19 |