Atkin-Lehner |
7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3451a |
Isogeny class |
Conductor |
3451 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10032 |
Modular degree for the optimal curve |
Δ |
-16571975433083 = -1 · 711 · 172 · 29 |
Discriminant |
Eigenvalues |
0 3 0 7+ 0 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1100,-195356] |
[a1,a2,a3,a4,a6] |
Generators |
[15702:111871:216] |
Generators of the group modulo torsion |
j |
147197952000000/16571975433083 |
j-invariant |
L |
4.5522859220499 |
L(r)(E,1)/r! |
Ω |
0.32937315000106 |
Real period |
R |
6.9105297776021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55216t1 31059l1 86275j1 24157f1 |
Quadratic twists by: -4 -3 5 -7 |