Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150bj |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
555908062500 = 22 · 37 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94426,11160248] |
[a1,a2,a3,a4,a6] |
Generators |
[187:-319:1] |
Generators of the group modulo torsion |
j |
5958978974685073/35578116 |
j-invariant |
L |
6.5572220126464 |
L(r)(E,1)/r! |
Ω |
0.82081559142492 |
Real period |
R |
0.28530951752838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3486h1 |
Quadratic twists by: 5 |