Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294d |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3032640 |
Modular degree for the optimal curve |
Δ |
-1.7135677903286E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13789608,-2865988800] |
[a1,a2,a3,a4,a6] |
Generators |
[6424810184642684529:548653225417673687541:1466894078535367] |
Generators of the group modulo torsion |
j |
77908020328125/46036680704 |
j-invariant |
L |
3.7616475114508 |
L(r)(E,1)/r! |
Ω |
0.059605891231661 |
Real period |
R |
31.554326541575 |
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 |
21294bp2 21294bw1 |
Quadratic twists by: -3 13 |