Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29302f |
Isogeny class |
Conductor |
29302 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-3644699968 = -1 · 26 · 72 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7- 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,272,2449] |
[a1,a2,a3,a4,a6] |
Generators |
[7:65:1] |
Generators of the group modulo torsion |
j |
45408227375/74381632 |
j-invariant |
L |
12.402511764668 |
L(r)(E,1)/r! |
Ω |
0.95749424434361 |
Real period |
R |
1.0794243967118 |
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 |
29302e1 |
Quadratic twists by: -7 |