Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21012a |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
491040 |
Modular degree for the optimal curve |
Δ |
-1349922495744 = -1 · 28 · 311 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -2 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20338396,-35297160248] |
[a1,a2,a3,a4,a6] |
Generators |
[33276964446949887259017:7435035382544039962588822:661051735941704561] |
Generators of the group modulo torsion |
j |
-3634409552474418115140304/5273134749 |
j-invariant |
L |
2.7179899940286 |
L(r)(E,1)/r! |
Ω |
0.035545971019646 |
Real period |
R |
38.232040313746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048x1 63036a1 |
Quadratic twists by: -4 -3 |