Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578t |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-13010390527666392 = -1 · 23 · 312 · 76 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56952,-7567560] |
[a1,a2,a3,a4,a6] |
Generators |
[309:1911:1] |
Generators of the group modulo torsion |
j |
-28023825046218625/17846900586648 |
j-invariant |
L |
6.0973784883762 |
L(r)(E,1)/r! |
Ω |
0.15020449316518 |
Real period |
R |
3.3828207365607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526w2 |
Quadratic twists by: -3 |