Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990d |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-5894553600 = -1 · 214 · 33 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,87,3717] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:31:1] |
Generators of the group modulo torsion |
j |
71525054951/5894553600 |
j-invariant |
L |
3.3225699363614 |
L(r)(E,1)/r! |
Ω |
1.0302575345886 |
Real period |
R |
3.224989698996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920ca1 47970bm1 79950bx1 |
Quadratic twists by: -4 -3 5 |