Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600i |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2368000000 = 212 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -3 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5800,-170000] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:4:1] [100:500:1] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
4.9689324314978 |
L(r)(E,1)/r! |
Ω |
0.5470731697883 |
Real period |
R |
2.2706891444791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29600bb1 59200r1 1184g1 |
Quadratic twists by: -4 8 5 |