Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fb |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4453410072515625000 = 23 · 310 · 59 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202807130,1111713160497] |
[a1,a2,a3,a4,a6] |
Generators |
[7979:34035:1] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
9.0860355360574 |
L(r)(E,1)/r! |
Ω |
0.16590836417639 |
Real period |
R |
1.1409455332242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350i7 15210n8 450g8 |
Quadratic twists by: -3 5 13 |