Atkin-Lehner |
2- 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884b |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-356412672 = -1 · 28 · 32 · 73 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -6 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,2376] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-14:1] [-10:66:1] |
Generators of the group modulo torsion |
j |
-12663250000/1392237 |
j-invariant |
L |
7.7126743625895 |
L(r)(E,1)/r! |
Ω |
1.6565243552334 |
Real period |
R |
0.25866321112578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652v1 |
Quadratic twists by: -3 |