Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bp |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
222208 |
Modular degree for the optimal curve |
Δ |
4417686418500 = 22 · 37 · 53 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8266,-271672] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:89:1] [-44:107:1] |
Generators of the group modulo torsion |
j |
499602236345549/35341491348 |
j-invariant |
L |
9.1238963427841 |
L(r)(E,1)/r! |
Ω |
0.50293733959657 |
Real period |
R |
0.64790067301697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350ck1 |
Quadratic twists by: 5 |