Atkin-Lehner |
3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955n |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4010312835 = -1 · 310 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- 4 0 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5412,-153275] |
[a1,a2,a3,a4,a6] |
Generators |
[13955:99464:125] |
Generators of the group modulo torsion |
j |
-24047478636544/5501115 |
j-invariant |
L |
6.3914407241091 |
L(r)(E,1)/r! |
Ω |
0.27830701412857 |
Real period |
R |
5.7413579245593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11985a1 |
Quadratic twists by: -3 |