Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586bh |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-34600582893888 = -1 · 26 · 36 · 114 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2155,-280915] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2770:1] |
Generators of the group modulo torsion |
j |
103742375/3241792 |
j-invariant |
L |
8.4114112604916 |
L(r)(E,1)/r! |
Ω |
0.31518855988115 |
Real period |
R |
2.2239098350124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002443 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8954d2 80586n2 |
Quadratic twists by: -3 -11 |