Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232w |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-12971279030976 = -1 · 26 · 34 · 75 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13727,-638271] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3339:1] |
Generators of the group modulo torsion |
j |
-4469946001956352/202676234859 |
j-invariant |
L |
2.989224060939 |
L(r)(E,1)/r! |
Ω |
0.21995003045886 |
Real period |
R |
0.45301563173066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bl1 35616ba1 |
Quadratic twists by: -4 8 |