Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310p |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6025221457290000 = 24 · 38 · 54 · 72 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-345105,78029325] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:9735:1] [-345:12660:1] |
Generators of the group modulo torsion |
j |
6235203702236478481/8265050010000 |
j-invariant |
L |
5.6144587446835 |
L(r)(E,1)/r! |
Ω |
0.42427828608641 |
Real period |
R |
1.6541203405882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770be3 116550eb4 |
Quadratic twists by: -3 5 |