Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fl |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-133106187502486800 = -1 · 24 · 314 · 52 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1453313,-675186289] |
[a1,a2,a3,a4,a6] |
j |
-277118243254257855625/108658112246928 |
j-invariant |
L |
2.7499799557458 |
L(r)(E,1)/r! |
Ω |
0.068749501456165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dp1 124950gy1 |
Quadratic twists by: 5 -7 |