Atkin-Lehner |
2- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
85840d |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
49787200000000 = 212 · 58 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -5 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11621,338579] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:625:1] |
Generators of the group modulo torsion |
j |
42377139564544/12155078125 |
j-invariant |
L |
4.536276149074 |
L(r)(E,1)/r! |
Ω |
0.58988920621494 |
Real period |
R |
1.9225119321068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5365a1 |
Quadratic twists by: -4 |