Atkin-Lehner |
3+ 5- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925n |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1230592 |
Modular degree for the optimal curve |
Δ |
-6586099885438875 = -1 · 322 · 53 · 23 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -3 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-854105,-304200300] |
[a1,a2,a3,a4,a6] |
Generators |
[14660:1764140:1] [7697070:168136075:5832] |
Generators of the group modulo torsion |
j |
-551249598836195137997/52688799083511 |
j-invariant |
L |
10.641694895837 |
L(r)(E,1)/r! |
Ω |
0.078521608287108 |
Real period |
R |
33.881421707555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925bg1 |
Quadratic twists by: 5 |