Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575o |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-33439765552505325 = -1 · 310 · 52 · 137 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 -3 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3749405,-2793495918] |
[a1,a2,a3,a4,a6] |
Generators |
[56530066510:3518585152164:11697083] |
Generators of the group modulo torsion |
j |
-319847624192219760625/1834829385597 |
j-invariant |
L |
4.0018348867389 |
L(r)(E,1)/r! |
Ω |
0.054247387774289 |
Real period |
R |
18.442523460252 |
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 |
18525c1 55575bi1 |
Quadratic twists by: -3 5 |