Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026u |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
166172688 = 24 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155,443] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
11390625/4624 |
j-invariant |
L |
7.9410104238915 |
L(r)(E,1)/r! |
Ω |
1.6449685184939 |
Real period |
R |
0.60343179326937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37026b1 37026a1 |
Quadratic twists by: -3 -11 |