Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585d |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
554780297841525 = 39 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1233780,527785775] |
[a1,a2,a3,a4,a6] |
Generators |
[310:13075:1] |
Generators of the group modulo torsion |
j |
89692794502947/239575 |
j-invariant |
L |
6.7587393256128 |
L(r)(E,1)/r! |
Ω |
0.45006453024312 |
Real period |
R |
1.877158405999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585h2 11655b2 |
Quadratic twists by: -3 -7 |