Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125800f |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3471360 |
Modular degree for the optimal curve |
Δ |
8461178426000000000 = 210 · 59 · 174 · 373 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -4 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2014208,-1090675588] |
[a1,a2,a3,a4,a6] |
Generators |
[-2933787251:-675519582:3869893] |
Generators of the group modulo torsion |
j |
451863104463284/4230589213 |
j-invariant |
L |
8.4898455884175 |
L(r)(E,1)/r! |
Ω |
0.12679989169077 |
Real period |
R |
11.159112529846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125800p1 |
Quadratic twists by: 5 |