Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2175a |
Isogeny class |
Conductor |
2175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-142904296875 = -1 · 3 · 59 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1217,7593] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:62:1] |
Generators of the group modulo torsion |
j |
12747309056/9145875 |
j-invariant |
L |
2.1220661822891 |
L(r)(E,1)/r! |
Ω |
0.65603506018093 |
Real period |
R |
0.80867102655453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800cw2 6525g2 435a2 106575bz2 |
Quadratic twists by: -4 -3 5 -7 |