Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3927d |
Isogeny class |
Conductor |
3927 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
536027170833 = 35 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-133802,18782534] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:3056:1] |
Generators of the group modulo torsion |
j |
264918160154242157473/536027170833 |
j-invariant |
L |
2.2579223888122 |
L(r)(E,1)/r! |
Ω |
0.79530847888333 |
Real period |
R |
2.8390523284531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832bq1 11781h1 98175t1 27489r1 |
Quadratic twists by: -4 -3 5 -7 |