Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060i |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
669407506322860800 = 28 · 311 · 52 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218703,437398] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:4230:1] [566:-7614:1] |
Generators of the group modulo torsion |
j |
6198982919179216/3586931511075 |
j-invariant |
L |
11.193621268584 |
L(r)(E,1)/r! |
Ω |
0.24285571134498 |
Real period |
R |
0.96024277871226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020m2 |
Quadratic twists by: -3 |