Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965i |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-9017211881475 = -1 · 318 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3495,166088] |
[a1,a2,a3,a4,a6] |
Generators |
[1344:49207:1] |
Generators of the group modulo torsion |
j |
-96381443866624/184024732275 |
j-invariant |
L |
3.8444135024176 |
L(r)(E,1)/r! |
Ω |
0.65196089156624 |
Real period |
R |
1.4741733561587 |
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 |
41895u1 69825bn1 13965m1 |
Quadratic twists by: -3 5 -7 |