Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384f |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4147043988390912 = 210 · 35 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14987744,-22328284740] |
[a1,a2,a3,a4,a6] |
Generators |
[-375519381194563530:2455974748507015:168032121488568] |
Generators of the group modulo torsion |
j |
3090610984197296452/34423137 |
j-invariant |
L |
3.9483120518843 |
L(r)(E,1)/r! |
Ω |
0.076730050836583 |
Real period |
R |
25.72859010007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912f3 |
Quadratic twists by: -7 |