Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584i |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
14003408896 = 212 · 434 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:86:1] [-4:64:1] |
Generators of the group modulo torsion |
j |
1849 |
j-invariant |
L |
6.0365059467606 |
L(r)(E,1)/r! |
Ω |
1.0938198605321 |
Real period |
R |
0.4598948879803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1849b1 118336v1 29584k1 |
Quadratic twists by: -4 8 -43 |