Atkin-Lehner |
2- 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bo |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-141141921693696 = -1 · 216 · 39 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1512,-571536] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1888:1] |
Generators of the group modulo torsion |
j |
-93391282153/34458476976 |
j-invariant |
L |
3.4603955691518 |
L(r)(E,1)/r! |
Ω |
0.26059068893399 |
Real period |
R |
3.3197613511901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999385606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398s1 |
Quadratic twists by: -4 |