Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
720h |
Isogeny class |
Conductor |
720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1209323520 = 212 · 310 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311043,-66769598] |
[a1,a2,a3,a4,a6] |
Generators |
[767:12078:1] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
2.1029661685701 |
L(r)(E,1)/r! |
Ω |
0.20215963587963 |
Real period |
R |
5.2012513759725 |
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 |
45a7 2880bd7 240d7 3600bf7 |
Quadratic twists by: -4 8 -3 5 |