Atkin-Lehner |
5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71225a |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
17388916015625 = 514 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6692,66091] |
[a1,a2,a3,a4,a6] |
Generators |
[-57442:724313:1331] |
Generators of the group modulo torsion |
j |
2121328796049/1112890625 |
j-invariant |
L |
5.7514945084292 |
L(r)(E,1)/r! |
Ω |
0.60796493749889 |
Real period |
R |
9.4602404730451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245b1 |
Quadratic twists by: 5 |