Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585d |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2623960868169375 = -1 · 39 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76155,8475200] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1660:1] |
Generators of the group modulo torsion |
j |
-21093208947/1133125 |
j-invariant |
L |
6.7587393256128 |
L(r)(E,1)/r! |
Ω |
0.45006453024312 |
Real period |
R |
3.754316811998 |
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 |
81585h1 11655b1 |
Quadratic twists by: -3 -7 |