Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bs |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1024512 |
Modular degree for the optimal curve |
Δ |
-62032576512 = -1 · 217 · 3 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985217,1075952703] |
[a1,a2,a3,a4,a6] |
Generators |
[719:4560:1] |
Generators of the group modulo torsion |
j |
-6601429068458128994/473271 |
j-invariant |
L |
10.156568595469 |
L(r)(E,1)/r! |
Ω |
0.6126724593475 |
Real period |
R |
1.3814570959676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904c1 20976a1 |
Quadratic twists by: -4 8 |