Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592m |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-9370424410377408 = -1 · 26 · 313 · 72 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2505,4657588] |
[a1,a2,a3,a4,a6] |
Generators |
[171:3038:1] |
Generators of the group modulo torsion |
j |
-37259704000/200840715243 |
j-invariant |
L |
5.8498150783601 |
L(r)(E,1)/r! |
Ω |
0.328510398308 |
Real period |
R |
4.4517731465129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592ba1 24864x1 |
Quadratic twists by: -4 -3 |