Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10140h |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3244800 = -1 · 28 · 3 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -6 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
106496/75 |
j-invariant |
L |
3.3428825970369 |
L(r)(E,1)/r! |
Ω |
1.5948677138331 |
Real period |
R |
1.0480124991064 |
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 |
40560cx1 30420m1 50700bd1 10140c1 |
Quadratic twists by: -4 -3 5 13 |