Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350a |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
54388260000000 = 28 · 35 · 57 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22150,-1227500] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:175:1] |
Generators of the group modulo torsion |
j |
76922876001889/3480848640 |
j-invariant |
L |
4.4109443594775 |
L(r)(E,1)/r! |
Ω |
0.39243525579972 |
Real period |
R |
2.8099822115094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670s1 |
Quadratic twists by: 5 |