Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10140b |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
2033051950800 = 24 · 34 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17801,917526] |
[a1,a2,a3,a4,a6] |
j |
8077950976/26325 |
j-invariant |
L |
1.6622006561093 |
L(r)(E,1)/r! |
Ω |
0.83110032805465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cd1 30420t1 50700z1 780a1 |
Quadratic twists by: -4 -3 5 13 |