Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848f |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-10708058112 = -1 · 222 · 3 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 -6 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,17008] |
[a1,a2,a3,a4,a6] |
Generators |
[26:54:1] |
Generators of the group modulo torsion |
j |
-45767461033/2614272 |
j-invariant |
L |
6.38683754774 |
L(r)(E,1)/r! |
Ω |
1.2644822999919 |
Real period |
R |
2.5254752667493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5106b1 122544bc1 |
Quadratic twists by: -4 -3 |