Atkin-Lehner |
2+ 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430r |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-47285712639032280 = -1 · 23 · 3 · 5 · 715 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5603,-10463914] |
[a1,a2,a3,a4,a6] |
Generators |
[22388:341721:64] |
Generators of the group modulo torsion |
j |
-19447964478993961/47285712639032280 |
j-invariant |
L |
4.8403763266185 |
L(r)(E,1)/r! |
Ω |
0.16224882420931 |
Real period |
R |
1.9888696061773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52290cb2 87150bv2 122010a2 |
Quadratic twists by: -3 5 -7 |