Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296x |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
27161595216 = 24 · 311 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5214,144695] |
[a1,a2,a3,a4,a6] |
Generators |
[527:11990:1] |
Generators of the group modulo torsion |
j |
1343969093632/2328669 |
j-invariant |
L |
7.4217179739637 |
L(r)(E,1)/r! |
Ω |
1.1862184189384 |
Real period |
R |
6.2566200755891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648f1 12432e1 |
Quadratic twists by: -4 -3 |