Atkin-Lehner |
2+ 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402b |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4143392421786474696 = -1 · 23 · 36 · 72 · 17 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,146712,-95552920] |
[a1,a2,a3,a4,a6] |
Generators |
[19813:2779396:1] |
Generators of the group modulo torsion |
j |
479061677844926847/5683665873506824 |
j-invariant |
L |
3.5481028076217 |
L(r)(E,1)/r! |
Ω |
0.12123793015467 |
Real period |
R |
3.6582021019588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378p4 |
Quadratic twists by: -3 |