Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bt |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1798206799334400 = 210 · 38 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2379456,-1411953444] |
[a1,a2,a3,a4,a6] |
Generators |
[-890:36:1] |
Generators of the group modulo torsion |
j |
12367124507424964/14926275 |
j-invariant |
L |
3.0177527832432 |
L(r)(E,1)/r! |
Ω |
0.12155704984105 |
Real period |
R |
3.1032268265953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920t4 |
Quadratic twists by: -7 |