Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530c |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-381818213437500000 = -1 · 25 · 33 · 510 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1313355,580414501] |
[a1,a2,a3,a4,a6] |
j |
-9279114406704599682987/14141415312500000 |
j-invariant |
L |
1.2025328652033 |
L(r)(E,1)/r! |
Ω |
0.30063321630083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19530bm2 97650ch2 |
Quadratic twists by: -3 5 |