Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bh |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1330570800000000 = 210 · 39 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547560075,-4931690062250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1071967479678480351:41593315262972:79346245464611] |
Generators of the group modulo torsion |
j |
1556580279686303289604/114075 |
j-invariant |
L |
5.7438326199495 |
L(r)(E,1)/r! |
Ω |
0.031209844949918 |
Real period |
R |
23.004890881253 |
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 |
46800p4 7800e4 4680f3 |
Quadratic twists by: -4 -3 5 |