Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804b |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
-9921729823488 = -1 · 28 · 34 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 1 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-151479] |
[a1,a2,a3,a4,a6] |
Generators |
[48:27:1] |
Generators of the group modulo torsion |
j |
57344/6723 |
j-invariant |
L |
2.3208067968476 |
L(r)(E,1)/r! |
Ω |
0.34360842416758 |
Real period |
R |
3.3771098634728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804r1 |
Quadratic twists by: -7 |