Atkin-Lehner |
3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6903c |
Isogeny class |
Conductor |
6903 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
591469749 = 33 · 135 · 59 |
Discriminant |
Eigenvalues |
0 3+ 1 -2 6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-222,-502] |
[a1,a2,a3,a4,a6] |
Generators |
[42:253:1] |
Generators of the group modulo torsion |
j |
44814532608/21906287 |
j-invariant |
L |
3.5604252131141 |
L(r)(E,1)/r! |
Ω |
1.2995790165648 |
Real period |
R |
0.27396758240415 |
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 |
110448ba1 6903a1 89739a1 |
Quadratic twists by: -4 -3 13 |