Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dj |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-97050312000 = -1 · 26 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1113,4516] |
[a1,a2,a3,a4,a6] |
Generators |
[12:140:1] [32:270:1] |
Generators of the group modulo torsion |
j |
3268147904/2080125 |
j-invariant |
L |
10.794502647674 |
L(r)(E,1)/r! |
Ω |
0.66361995372445 |
Real period |
R |
2.71101519132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cu1 61920n2 41280bi1 |
Quadratic twists by: -4 8 -3 |