Atkin-Lehner |
3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2325b |
Isogeny class |
Conductor |
2325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
7265625 = 3 · 57 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250,-1625] |
[a1,a2,a3,a4,a6] |
Generators |
[7770:20315:343] |
Generators of the group modulo torsion |
j |
111284641/465 |
j-invariant |
L |
3.4535518665139 |
L(r)(E,1)/r! |
Ω |
1.2003219919713 |
Real period |
R |
5.7543757252039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200di1 6975g1 465b1 113925ci1 |
Quadratic twists by: -4 -3 5 -7 |