Atkin-Lehner |
3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775bm |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-2069391796875 = -1 · 36 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 4 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-163125,25358906] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-59:1] |
Generators of the group modulo torsion |
j |
-1685767680000/7267 |
j-invariant |
L |
3.0848724069438 |
L(r)(E,1)/r! |
Ω |
0.72827285966539 |
Real period |
R |
1.0589686639677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995401065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975h1 125775r1 |
Quadratic twists by: -3 5 |