Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648bc |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-2175132499968 = -1 · 228 · 3 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1336,-67980] |
[a1,a2,a3,a4,a6] |
Generators |
[162225449958:967975550976:3892119517] |
Generators of the group modulo torsion |
j |
64336588343/531038208 |
j-invariant |
L |
6.0692415181699 |
L(r)(E,1)/r! |
Ω |
0.40817228264934 |
Real period |
R |
14.86931308448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206b1 |
Quadratic twists by: -4 |