Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760bz |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
147115012423680000 = 218 · 39 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163323,17460522] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:6400:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
5.3880833003179 |
L(r)(E,1)/r! |
Ω |
0.30191858450452 |
Real period |
R |
2.230768312844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970bf1 95760cr1 |
Quadratic twists by: -4 -3 |