Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930x |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-433306023200000 = -1 · 28 · 55 · 172 · 374 |
Discriminant |
Eigenvalues |
2- 3 5- -1 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45912,-3905189] |
[a1,a2,a3,a4,a6] |
Generators |
[9687:132043:27] |
Generators of the group modulo torsion |
j |
-37033574847745329/1499328800000 |
j-invariant |
L |
19.986102246602 |
L(r)(E,1)/r! |
Ω |
0.16268961180193 |
Real period |
R |
1.5356006742111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930v1 |
Quadratic twists by: 17 |