Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96200l |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
410880 |
Modular degree for the optimal curve |
Δ |
2436409300000000 = 28 · 58 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66833,6234037] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:1550:1] [92:925:1] |
Generators of the group modulo torsion |
j |
330143749120/24364093 |
j-invariant |
L |
8.4011956825825 |
L(r)(E,1)/r! |
Ω |
0.44897387096039 |
Real period |
R |
0.3898331760151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96200r1 |
Quadratic twists by: 5 |