Atkin-Lehner |
2+ 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410m |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-5436855883112500000 = -1 · 25 · 58 · 78 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,423841,36024813] |
[a1,a2,a3,a4,a6] |
j |
1460655211241079/943112500000 |
j-invariant |
L |
1.2039735565283 |
L(r)(E,1)/r! |
Ω |
0.15049665816206 |
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 |
102410g1 |
Quadratic twists by: -7 |