Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3927b |
Isogeny class |
Conductor |
3927 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-30642381 = -1 · 34 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 11+ 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26,-251] |
[a1,a2,a3,a4,a6] |
Generators |
[28:139:1] |
Generators of the group modulo torsion |
j |
1829276567/30642381 |
j-invariant |
L |
3.0304990154355 |
L(r)(E,1)/r! |
Ω |
1.018511508562 |
Real period |
R |
0.49590325194492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62832bt1 11781i1 98175x1 27489o1 |
Quadratic twists by: -4 -3 5 -7 |