Atkin-Lehner |
5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2405b |
Isogeny class |
Conductor |
2405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
156325 = 52 · 132 · 37 |
Discriminant |
Eigenvalues |
-2 -1 5+ -1 -3 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,22] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] [-2:6:1] |
Generators of the group modulo torsion |
j |
481890304/156325 |
j-invariant |
L |
1.7330852578094 |
L(r)(E,1)/r! |
Ω |
2.9920737097871 |
Real period |
R |
0.14480636390578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38480n1 21645p1 12025d1 117845r1 |
Quadratic twists by: -4 -3 5 -7 |