Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344f |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
40394077392896 = 212 · 43 · 475 |
Discriminant |
Eigenvalues |
2+ 2 3 2 -2 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-549529,156978681] |
[a1,a2,a3,a4,a6] |
Generators |
[18674385:1377096652:3375] |
Generators of the group modulo torsion |
j |
4480602356217633472/9861835301 |
j-invariant |
L |
14.806574030694 |
L(r)(E,1)/r! |
Ω |
0.55631925271501 |
Real period |
R |
13.307623183509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344t1 64672i1 |
Quadratic twists by: -4 8 |