Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834g |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-40395567034368 = -1 · 212 · 35 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3588,-294086] |
[a1,a2,a3,a4,a6] |
Generators |
[62:378:1] |
Generators of the group modulo torsion |
j |
5110401239713223/40395567034368 |
j-invariant |
L |
3.4092159989576 |
L(r)(E,1)/r! |
Ω |
0.32033466036325 |
Real period |
R |
0.5321334873803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bm1 47502bi1 110838e1 |
Quadratic twists by: -4 -3 -7 |