Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100c |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
4633136172000000 = 28 · 36 · 56 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211848708,-1186754816088] |
[a1,a2,a3,a4,a6] |
Generators |
[11109400098:132791901254:658503] |
Generators of the group modulo torsion |
j |
262870094943539630818000/1158284043 |
j-invariant |
L |
5.4863666173135 |
L(r)(E,1)/r! |
Ω |
0.03957246462864 |
Real period |
R |
15.404557170089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5124c4 |
Quadratic twists by: 5 |