Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488o |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3667021250264064 = -1 · 210 · 33 · 77 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2679,-2913903] |
[a1,a2,a3,a4,a6] |
j |
17643776/30438639 |
j-invariant |
L |
0.4119088728568 |
L(r)(E,1)/r! |
Ω |
0.20595434451988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ii1 6468o1 14784v1 |
Quadratic twists by: -4 8 -7 |