Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400o |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1196306845920000000 = -1 · 211 · 37 · 57 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5325,-52623250] |
[a1,a2,a3,a4,a6] |
Generators |
[13270:1528650:1] |
Generators of the group modulo torsion |
j |
715822/51282015 |
j-invariant |
L |
7.470070334191 |
L(r)(E,1)/r! |
Ω |
0.12594665591034 |
Real period |
R |
3.706961430367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800w3 15480o4 |
Quadratic twists by: -3 5 |