Atkin-Lehner |
2+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
107440g |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-42976000 = -1 · 28 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 0 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-932,10956] |
[a1,a2,a3,a4,a6] |
Generators |
[17:5:1] |
Generators of the group modulo torsion |
j |
-349728869376/167875 |
j-invariant |
L |
4.7703723565203 |
L(r)(E,1)/r! |
Ω |
2.0008310124615 |
Real period |
R |
0.79473184226076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53720h1 |
Quadratic twists by: -4 |