Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384o |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-29960276977354752 = -1 · 211 · 36 · 78 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76424,-1770448] |
[a1,a2,a3,a4,a6] |
Generators |
[342254:9036735:10648] |
Generators of the group modulo torsion |
j |
204875077678/124344801 |
j-invariant |
L |
11.500386373529 |
L(r)(E,1)/r! |
Ω |
0.21589873795587 |
Real period |
R |
8.8779169357165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912c2 |
Quadratic twists by: -7 |