Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410o |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
601923833697032000 = 26 · 53 · 76 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2116482,1183671476] |
[a1,a2,a3,a4,a6] |
Generators |
[812:734:1] |
Generators of the group modulo torsion |
j |
8912089320684236569/5116268168000 |
j-invariant |
L |
7.334127711913 |
L(r)(E,1)/r! |
Ω |
0.28627917904427 |
Real period |
R |
2.1348996132898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090d4 |
Quadratic twists by: -7 |