Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950x |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16692480 |
Modular degree for the optimal curve |
Δ |
-1.542467292192E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17238225,33398415765] |
[a1,a2,a3,a4,a6] |
Generators |
[34799627339:1829009592735:19902511] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
3.4081847264629 |
L(r)(E,1)/r! |
Ω |
0.097473879420459 |
Real period |
R |
17.482554027431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950iv1 2550j1 |
Quadratic twists by: 5 -7 |