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 |
4852515600000000 = 210 · 38 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129675,-17658250] |
[a1,a2,a3,a4,a6] |
Generators |
[212836:12198627:64] |
Generators of the group modulo torsion |
j |
20674973956/416025 |
j-invariant |
L |
7.470070334191 |
L(r)(E,1)/r! |
Ω |
0.25189331182069 |
Real period |
R |
7.4139228607341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25800w2 15480o2 |
Quadratic twists by: -3 5 |