Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400dj |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3764911020000000 = -1 · 28 · 3 · 57 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1459033,-678830437] |
[a1,a2,a3,a4,a6] |
Generators |
[13849:1623414:1] |
Generators of the group modulo torsion |
j |
-17790954496/195 |
j-invariant |
L |
6.2483237820379 |
L(r)(E,1)/r! |
Ω |
0.068683587285561 |
Real period |
R |
5.6857868362715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280e1 7800h1 |
Quadratic twists by: 5 13 |