Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232v |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4431200256 = -1 · 214 · 36 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-917,11469] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
-5210570752/270459 |
j-invariant |
L |
3.507574474931 |
L(r)(E,1)/r! |
Ω |
1.3632188536787 |
Real period |
R |
1.2865045347312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232dc1 4452e1 |
Quadratic twists by: -4 8 |