Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200f |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82176 |
Modular degree for the optimal curve |
Δ |
70109200 = 24 · 52 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 0 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1195,15895] |
[a1,a2,a3,a4,a6] |
Generators |
[19:7:1] |
Generators of the group modulo torsion |
j |
471810320640/175273 |
j-invariant |
L |
3.0290148980351 |
L(r)(E,1)/r! |
Ω |
1.9134163695959 |
Real period |
R |
0.1978800158631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200w1 |
Quadratic twists by: 5 |