Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101866m |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-180812899937492 = -1 · 22 · 318 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 4 2 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11552,799509] |
[a1,a2,a3,a4,a6] |
Generators |
[4461:295679:1] |
Generators of the group modulo torsion |
j |
-192100033/203732 |
j-invariant |
L |
12.069049571833 |
L(r)(E,1)/r! |
Ω |
0.51756408811813 |
Real period |
R |
2.9148683835072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3286d1 |
Quadratic twists by: -31 |