Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bk |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
-7.7152006781231E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -1 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7009560,-7153797312] |
[a1,a2,a3,a4,a6] |
Generators |
[6679:490563:1] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
5.3755130990184 |
L(r)(E,1)/r! |
Ω |
0.046386772066434 |
Real period |
R |
4.1387361553047 |
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 |
2366o1 1638r1 |
Quadratic twists by: -3 13 |