Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320p |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-4184460000000 = -1 · 28 · 36 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7572,272036] |
[a1,a2,a3,a4,a6] |
Generators |
[82:450:1] |
Generators of the group modulo torsion |
j |
-257269341184/22421875 |
j-invariant |
L |
7.9198066071979 |
L(r)(E,1)/r! |
Ω |
0.76264400843556 |
Real period |
R |
0.18544054176144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11480e1 |
Quadratic twists by: -3 |