Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520t |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-8.8351075563842E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2911040,-4910781612] |
[a1,a2,a3,a4,a6] |
Generators |
[2596:70950:1] |
Generators of the group modulo torsion |
j |
-1332104907040976661122/4314017361515709375 |
j-invariant |
L |
10.306186289526 |
L(r)(E,1)/r! |
Ω |
0.053242237241448 |
Real period |
R |
0.20163710727418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56760p1 |
Quadratic twists by: -4 |