Atkin-Lehner |
3- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323g |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-8080914699 = -1 · 311 · 112 · 13 · 29 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12081,511114] |
[a1,a2,a3,a4,a6] |
Generators |
[67:49:1] |
Generators of the group modulo torsion |
j |
-267488328429568/11084931 |
j-invariant |
L |
3.3034689260307 |
L(r)(E,1)/r! |
Ω |
1.232017973754 |
Real period |
R |
0.67033699921729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12441a1 |
Quadratic twists by: -3 |