Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224h |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1146620131998604032 = -1 · 28 · 3 · 710 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127812,-48466704] |
[a1,a2,a3,a4,a6] |
Generators |
[8828:830060:1] |
Generators of the group modulo torsion |
j |
901976538349406000/4478984890619547 |
j-invariant |
L |
5.3416972104657 |
L(r)(E,1)/r! |
Ω |
0.13816667298106 |
Real period |
R |
1.9330628346861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112w2 |
Quadratic twists by: -4 |