Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6710a |
Isogeny class |
Conductor |
6710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-133023334400 = -1 · 216 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1265,2541] |
[a1,a2,a3,a4,a6] |
Generators |
[43:346:1] |
Generators of the group modulo torsion |
j |
223770153205431/133023334400 |
j-invariant |
L |
2.1509694567671 |
L(r)(E,1)/r! |
Ω |
0.63404650482198 |
Real period |
R |
3.3924474630943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53680u1 60390bk1 33550o1 73810k1 |
Quadratic twists by: -4 -3 5 -11 |