Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456l |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-55470205250684928 = -1 · 211 · 312 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-577875,-169461902] |
[a1,a2,a3,a4,a6] |
Generators |
[67703:17615070:1] |
Generators of the group modulo torsion |
j |
-14294466488281250/37153719009 |
j-invariant |
L |
8.1596388705803 |
L(r)(E,1)/r! |
Ω |
0.086565225621773 |
Real period |
R |
5.89125050305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728d2 31152h2 |
Quadratic twists by: -4 -3 |