Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bn |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
3.9164544495E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856875,50481250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6398:119799:8] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
7.7310860183656 |
L(r)(E,1)/r! |
Ω |
0.17649115147722 |
Real period |
R |
3.6503652420066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400ds1 40800br1 122400ef1 |
Quadratic twists by: -4 -3 5 |