Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29008j |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-226279784378368 = -1 · 212 · 79 · 372 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067,-730590] |
[a1,a2,a3,a4,a6] |
Generators |
[119:686:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
2.1688830132572 |
L(r)(E,1)/r! |
Ω |
0.24303827947677 |
Real period |
R |
1.1155048383358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1813a1 116032bh1 4144f1 |
Quadratic twists by: -4 8 -7 |