Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100b |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-204000000 = -1 · 28 · 3 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-863] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
2.0390706410866 |
L(r)(E,1)/r! |
Ω |
0.67969021369553 |
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 |
20400cz1 81600cq1 15300t1 204b1 |
Quadratic twists by: -4 8 -3 5 |