Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232a |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-66200162402304 = -1 · 217 · 34 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 5 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37441,-2803391] |
[a1,a2,a3,a4,a6] |
Generators |
[2008:89523:1] |
Generators of the group modulo torsion |
j |
-44286127310882/505067157 |
j-invariant |
L |
4.9958127915754 |
L(r)(E,1)/r! |
Ω |
0.17148916141408 |
Real period |
R |
3.6414931056221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232dd1 8904g1 |
Quadratic twists by: -4 8 |