Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
81576f |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-12250594224 = -1 · 24 · 38 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-894,11585] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:135:1] |
Generators of the group modulo torsion |
j |
-6774679552/1050291 |
j-invariant |
L |
7.9249113423212 |
L(r)(E,1)/r! |
Ω |
1.2231276269064 |
Real period |
R |
1.6198046639435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27192c1 |
Quadratic twists by: -3 |