Atkin-Lehner |
2+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632i |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
429580619776 = 212 · 74 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2644,41760] |
[a1,a2,a3,a4,a6] |
Generators |
[68:420:1] |
Generators of the group modulo torsion |
j |
499054661568/104878081 |
j-invariant |
L |
7.8023236173256 |
L(r)(E,1)/r! |
Ω |
0.89091504193233 |
Real period |
R |
2.1894129211797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992382 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93632f2 46816d1 |
Quadratic twists by: -4 8 |