Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8330x |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13647872000000 = -1 · 220 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-95740,11395600] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1220:1] |
Generators of the group modulo torsion |
j |
-1980652037510828689/278528000000 |
j-invariant |
L |
7.6585306569844 |
L(r)(E,1)/r! |
Ω |
0.68151390281038 |
Real period |
R |
0.093646055561041 |
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 |
66640co1 74970s1 41650i1 8330o1 |
Quadratic twists by: -4 -3 5 -7 |