Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462s |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1236726288 = 24 · 32 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271,242] |
[a1,a2,a3,a4,a6] |
j |
18609625/10512 |
j-invariant |
L |
2.6436882467411 |
L(r)(E,1)/r! |
Ω |
1.3218441233705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386cc1 438c1 |
Quadratic twists by: -3 -7 |