Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bx |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-1133189977968082944 = -1 · 217 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125197,48263635] |
[a1,a2,a3,a4,a6] |
Generators |
[595:17954:1] |
Generators of the group modulo torsion |
j |
2284322013/11927552 |
j-invariant |
L |
7.3017426934971 |
L(r)(E,1)/r! |
Ω |
0.19792760136896 |
Real period |
R |
0.27125718767705 |
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 |
21294l1 1638a1 |
Quadratic twists by: -3 13 |