Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bj |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-49838997600 = -1 · 25 · 33 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37,10731] |
[a1,a2,a3,a4,a6] |
Generators |
[5:102:1] |
Generators of the group modulo torsion |
j |
212776173/1845888800 |
j-invariant |
L |
7.0613305802035 |
L(r)(E,1)/r! |
Ω |
0.88850518804483 |
Real period |
R |
0.19868568791765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19530f2 97650b2 |
Quadratic twists by: -3 5 |