Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656f |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.1160051711861E+19 |
Discriminant |
Eigenvalues |
2- 0 2 0 6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3322019,-2319979102] |
[a1,a2,a3,a4,a6] |
Generators |
[2330864120169122875609973:73339889974656351966139290:894344246517696849883] |
Generators of the group modulo torsion |
j |
7727161833/40328 |
j-invariant |
L |
7.4453871112079 |
L(r)(E,1)/r! |
Ω |
0.11186274517876 |
Real period |
R |
33.279118533079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10082a2 1136b2 |
Quadratic twists by: -4 -71 |