Atkin-Lehner |
2+ 3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648g |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-10501488 = -1 · 24 · 35 · 37 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -1 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
953312000/656343 |
j-invariant |
L |
7.3939572376905 |
L(r)(E,1)/r! |
Ω |
1.2918180192712 |
Real period |
R |
1.1447366626739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64824b1 |
Quadratic twists by: -4 |