Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550m |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
784244531250 = 2 · 310 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3901,83198] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:341:1] |
Generators of the group modulo torsion |
j |
420021471169/50191650 |
j-invariant |
L |
2.6988215128117 |
L(r)(E,1)/r! |
Ω |
0.86585575119582 |
Real period |
R |
0.311694125619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400cg2 81600bc2 7650bx2 510c2 |
Quadratic twists by: -4 8 -3 5 |