Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ch |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-77838391800000 = -1 · 26 · 311 · 55 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10518,-88306] |
[a1,a2,a3,a4,a6] |
Generators |
[13:225:1] |
Generators of the group modulo torsion |
j |
2758136205824/1668346875 |
j-invariant |
L |
5.8006836105523 |
L(r)(E,1)/r! |
Ω |
0.3549265281224 |
Real period |
R |
1.6343336299032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440cg1 18720i1 12480d1 |
Quadratic twists by: -4 8 -3 |