Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13300y |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-15793750000 = -1 · 24 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131458,18301713] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1225:1] |
Generators of the group modulo torsion |
j |
-40198334560000/2527 |
j-invariant |
L |
3.6678230483869 |
L(r)(E,1)/r! |
Ω |
0.9373607292952 |
Real period |
R |
1.9564629356431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53200dg1 119700cj1 13300h1 93100bo1 |
Quadratic twists by: -4 -3 5 -7 |