Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cc |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-15030631268352 = -1 · 220 · 36 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4543,143073] |
[a1,a2,a3,a4,a6] |
Generators |
[311:5616:1] |
Generators of the group modulo torsion |
j |
39547260143/57337308 |
j-invariant |
L |
6.6963645600948 |
L(r)(E,1)/r! |
Ω |
0.47480151094658 |
Real period |
R |
3.5258757642344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232bs1 17808r1 |
Quadratic twists by: -4 8 |