Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101124j |
Isogeny class |
Conductor |
101124 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-52236679372848 = -1 · 24 · 319 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -4 -2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3180,354517] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:284:1] |
Generators of the group modulo torsion |
j |
-108544000/1594323 |
j-invariant |
L |
5.2463683318834 |
L(r)(E,1)/r! |
Ω |
0.53432778605764 |
Real period |
R |
4.9093164053439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33708c1 101124n1 |
Quadratic twists by: -3 53 |