Atkin-Lehner |
3- 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757g |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-15733169080839 = -1 · 38 · 7 · 17 · 674 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13266,-614993] |
[a1,a2,a3,a4,a6] |
Generators |
[133219718:7683930041:39304] |
Generators of the group modulo torsion |
j |
-354188598847777/21581850591 |
j-invariant |
L |
9.7066510274586 |
L(r)(E,1)/r! |
Ω |
0.22164256460891 |
Real period |
R |
10.948541230515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23919a1 |
Quadratic twists by: -3 |