Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736b |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
321217248208896 = 211 · 311 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40616,3043884] |
[a1,a2,a3,a4,a6] |
Generators |
[97:86:1] |
Generators of the group modulo torsion |
j |
126684212018/5491557 |
j-invariant |
L |
2.532037876179 |
L(r)(E,1)/r! |
Ω |
0.53736981330044 |
Real period |
R |
4.7119093119764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125736p1 |
Quadratic twists by: 13 |