Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bc |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
75386570311936 = 28 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -5 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1098363,-442789525] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:314:1] |
Generators of the group modulo torsion |
j |
497630516409/256 |
j-invariant |
L |
7.9411690729924 |
L(r)(E,1)/r! |
Ω |
0.14747320722416 |
Real period |
R |
2.2436756373498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018d1 122018a1 |
Quadratic twists by: 13 -19 |