Atkin-Lehner |
2+ 3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648f |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
20698432848 = 24 · 38 · 37 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80943,8836812] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1512:1] |
Generators of the group modulo torsion |
j |
3665616146735872000/1293652053 |
j-invariant |
L |
10.429099081797 |
L(r)(E,1)/r! |
Ω |
0.9804579225609 |
Real period |
R |
2.6592418728819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64824c1 |
Quadratic twists by: -4 |