Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536q |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
266489298944 = 226 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13358387,-18792265742] |
[a1,a2,a3,a4,a6] |
Generators |
[-7604620792824196402972242:383909822282664734774:3603802609515901932287] |
Generators of the group modulo torsion |
j |
178286568215258258721/180224 |
j-invariant |
L |
5.4644397626201 |
L(r)(E,1)/r! |
Ω |
0.078969802054227 |
Real period |
R |
34.598287069707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942g2 63536k2 |
Quadratic twists by: -4 -19 |