Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240q |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-5373553176069120 = -1 · 210 · 320 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12424,3490500] |
[a1,a2,a3,a4,a6] |
Generators |
[199:3726:1] |
Generators of the group modulo torsion |
j |
207096675414044/5247610523505 |
j-invariant |
L |
7.4511155184378 |
L(r)(E,1)/r! |
Ω |
0.32223882595186 |
Real period |
R |
2.3122960110282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120d3 |
Quadratic twists by: -4 |