Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600t |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3741696 |
Modular degree for the optimal curve |
Δ |
9.4931877133E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -5 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227469133,-1320472597637] |
[a1,a2,a3,a4,a6] |
Generators |
[-2983533:3082988:343] |
Generators of the group modulo torsion |
j |
20338136461105732942336/1483310580203125 |
j-invariant |
L |
5.5969614031698 |
L(r)(E,1)/r! |
Ω |
0.038875038933402 |
Real period |
R |
5.1418978390497 |
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 |
29600v1 59200cg1 5920h1 |
Quadratic twists by: -4 8 5 |