Atkin-Lehner |
2+ 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190j |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
53061463548900 = 22 · 38 · 52 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54000,4830700] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3170:1] |
Generators of the group modulo torsion |
j |
23888120832864001/72786644100 |
j-invariant |
L |
2.87778043204 |
L(r)(E,1)/r! |
Ω |
0.63310093277369 |
Real period |
R |
0.56819147687716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730i2 |
Quadratic twists by: -3 |