Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038o |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.2468103298938E+27 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1886379273,-31653382891635] |
[a1,a2,a3,a4,a6] |
Generators |
[14088905475864964711839138185439488014894542961742587887716127:3006727690823336277247512270729983801567700509240648675037439829:185281508576266144596925601884825671000163374494943852999] |
Generators of the group modulo torsion |
j |
-8655556417290033501229057/37856560283212841856 |
j-invariant |
L |
4.3950669179619 |
L(r)(E,1)/r! |
Ω |
0.011451138081655 |
Real period |
R |
95.952622495294 |
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 |
17346be4 7434e4 |
Quadratic twists by: -3 -7 |