Atkin-Lehner |
3- 5- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925bh |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-1273989597985546875 = -1 · 37 · 58 · 234 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 -2 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-43958,54406244] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:7555:1] |
Generators of the group modulo torsion |
j |
-24048463360000/3261413370843 |
j-invariant |
L |
4.3246753942866 |
L(r)(E,1)/r! |
Ω |
0.22294379604555 |
Real period |
R |
0.34639379972575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997007556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925b1 |
Quadratic twists by: 5 |