Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488k |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-64249856 = -1 · 213 · 11 · 23 · 31 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427,3418] |
[a1,a2,a3,a4,a6] |
Generators |
[13:8:1] |
Generators of the group modulo torsion |
j |
-2102071041/15686 |
j-invariant |
L |
4.4895443547731 |
L(r)(E,1)/r! |
Ω |
1.9733897326747 |
Real period |
R |
0.56876047971005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15686f1 |
Quadratic twists by: -4 |