Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800bb |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-119520000 = -1 · 28 · 32 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,4612] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:60:1] [12:-10:1] |
Generators of the group modulo torsion |
j |
-90792400/747 |
j-invariant |
L |
7.9675267230759 |
L(r)(E,1)/r! |
Ω |
1.873607302269 |
Real period |
R |
0.17718775953005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600bg1 49800k1 |
Quadratic twists by: -4 5 |