Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296x |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19979188524288 = 28 · 316 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6879,44462] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:308:1] |
Generators of the group modulo torsion |
j |
192899964112/107055837 |
j-invariant |
L |
7.4217179739637 |
L(r)(E,1)/r! |
Ω |
0.59310920946919 |
Real period |
R |
3.1283100377945 |
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 |
18648f2 12432e2 |
Quadratic twists by: -4 -3 |