Atkin-Lehner |
2+ 3- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bc |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
31948800 |
Modular degree for the optimal curve |
Δ |
1.9672322294104E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72374229,-103059208715] |
[a1,a2,a3,a4,a6] |
Generators |
[-50042:2615761:8] |
Generators of the group modulo torsion |
j |
57510618451902502240780369/26985352941158400000000 |
j-invariant |
L |
6.991061931927 |
L(r)(E,1)/r! |
Ω |
0.054174628564999 |
Real period |
R |
8.0654243584734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990r1 |
Quadratic twists by: -3 |