Atkin-Lehner |
7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32851i |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
110808 |
Modular degree for the optimal curve |
Δ |
-557927029459891 = -1 · 7 · 13 · 1910 |
Discriminant |
Eigenvalues |
-1 2 1 7+ 4 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2715,-1138876] |
[a1,a2,a3,a4,a6] |
Generators |
[54950451898320:-279738125157284:455644227375] |
Generators of the group modulo torsion |
j |
-361/91 |
j-invariant |
L |
5.3691202162982 |
L(r)(E,1)/r! |
Ω |
0.23166329151332 |
Real period |
R |
23.176396144702 |
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 |
32851a1 |
Quadratic twists by: -19 |