Atkin-Lehner |
2- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18544i |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-141235156416462848 = -1 · 229 · 19 · 614 |
Discriminant |
Eigenvalues |
2- -3 0 1 2 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-904555,331624858] |
[a1,a2,a3,a4,a6] |
Generators |
[501:2048:1] |
Generators of the group modulo torsion |
j |
-19983368632718354625/34481239359488 |
j-invariant |
L |
3.5652702419308 |
L(r)(E,1)/r! |
Ω |
0.32694806494284 |
Real period |
R |
1.3630873769486 |
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 |
2318c1 74176m1 |
Quadratic twists by: -4 8 |