Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bh |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27797372343193600 = 212 · 52 · 710 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79723,-3274278] |
[a1,a2,a3,a4,a6] |
Generators |
[319:1938:1] |
Generators of the group modulo torsion |
j |
116285729841/57684025 |
j-invariant |
L |
6.4950357830636 |
L(r)(E,1)/r! |
Ω |
0.29900690572762 |
Real period |
R |
5.4305064980232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007749 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7595e2 17360bk2 |
Quadratic twists by: -4 -7 |