Atkin-Lehner |
3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6903a |
Isogeny class |
Conductor |
6903 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
431181447021 = 39 · 135 · 59 |
Discriminant |
Eigenvalues |
0 3+ -1 -2 -6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1998,13547] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:201:1] [-9:175:1] |
Generators of the group modulo torsion |
j |
44814532608/21906287 |
j-invariant |
L |
4.2422032352926 |
L(r)(E,1)/r! |
Ω |
0.83685999431509 |
Real period |
R |
0.50691911001977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448bc1 6903c1 89739c1 |
Quadratic twists by: -4 -3 13 |