Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8670o |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403920 |
Modular degree for the optimal curve |
Δ |
-16476460045344360 = -1 · 23 · 310 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15241866,-22910034561] |
[a1,a2,a3,a4,a6] |
Generators |
[833231938718969:66338149481821837:97781036543] |
Generators of the group modulo torsion |
j |
-56136684668636449/2361960 |
j-invariant |
L |
5.2600399540683 |
L(r)(E,1)/r! |
Ω |
0.038204104381406 |
Real period |
R |
22.947097959054 |
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 |
69360dh1 26010w1 43350bk1 8670y1 |
Quadratic twists by: -4 -3 5 17 |