Atkin-Lehner |
3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2325f |
Isogeny class |
Conductor |
2325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
326953125 = 33 · 58 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 -1 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1458,-20932] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:3:1] |
Generators of the group modulo torsion |
j |
878080000/837 |
j-invariant |
L |
1.6336919864148 |
L(r)(E,1)/r! |
Ω |
0.77260979119758 |
Real period |
R |
2.1145111090069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200ds1 6975r1 2325j1 113925dc1 |
Quadratic twists by: -4 -3 5 -7 |