Atkin-Lehner |
2+ 3+ 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574c |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-732359626322688 = -1 · 28 · 33 · 76 · 132 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16248,-1522624] |
[a1,a2,a3,a4,a6] |
Generators |
[320:-5256:1] [179:1042:1] |
Generators of the group modulo torsion |
j |
-17570119455955611/27124430604544 |
j-invariant |
L |
7.1884949636226 |
L(r)(E,1)/r! |
Ω |
0.20051696333542 |
Real period |
R |
1.4937420678596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119574v2 |
Quadratic twists by: -3 |