Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760z |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
349045200 = 24 · 38 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89778,-10353877] |
[a1,a2,a3,a4,a6] |
Generators |
[-119509557388:21036159:690807104] |
Generators of the group modulo torsion |
j |
6860977263302656/29925 |
j-invariant |
L |
7.4848337595372 |
L(r)(E,1)/r! |
Ω |
0.27580813601979 |
Real period |
R |
13.568914025413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47880be1 31920k1 |
Quadratic twists by: -4 -3 |