Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341y |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-329445719903601 = -1 · 36 · 73 · 19 · 375 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 4 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13838,609461] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:404:1] |
Generators of the group modulo torsion |
j |
854373185117369/960483148407 |
j-invariant |
L |
3.1956725560565 |
L(r)(E,1)/r! |
Ω |
0.3604322014895 |
Real period |
R |
0.14777039621653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341g1 |
Quadratic twists by: -7 |