Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550d |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4128734069824218750 = -1 · 2 · 33 · 515 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-475400,-159806250] |
[a1,a2,a3,a4,a6] |
Generators |
[5760135:37174620:6859] |
Generators of the group modulo torsion |
j |
-760470979826452609/264238980468750 |
j-invariant |
L |
2.7866467270986 |
L(r)(E,1)/r! |
Ω |
0.089343920122765 |
Real period |
R |
7.7975275813521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bd2 |
Quadratic twists by: 5 |