Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960ch |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3222419082692567040 = 213 · 312 · 5 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-579960,-146231568] |
[a1,a2,a3,a4,a6] |
Generators |
[8586:172773:8] [-14946:59642:27] |
Generators of the group modulo torsion |
j |
35578826569/5314410 |
j-invariant |
L |
9.6949454452161 |
L(r)(E,1)/r! |
Ω |
0.17473238180634 |
Real period |
R |
27.742268899262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870u5 240b5 |
Quadratic twists by: -4 -23 |