Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950be |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-140113800000000 = -1 · 29 · 36 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 1 0 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6867,-608459] |
[a1,a2,a3,a4,a6] |
Generators |
[35895:555382:125] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
3.5227275940602 |
L(r)(E,1)/r! |
Ω |
0.23953142175627 |
Real period |
R |
7.3533726143969 |
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 |
111600gh1 1550g1 13950cd1 |
Quadratic twists by: -4 -3 5 |