Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944j |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-6362536128236784 = -1 · 24 · 312 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27543,4221799] |
[a1,a2,a3,a4,a6] |
Generators |
[2626:44217:8] |
Generators of the group modulo torsion |
j |
-198111610045696/545484921831 |
j-invariant |
L |
6.1549560743367 |
L(r)(E,1)/r! |
Ω |
0.37324620921678 |
Real period |
R |
2.0612922255968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75888g1 12648d1 |
Quadratic twists by: -4 -3 |