Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6460b |
Isogeny class |
Conductor |
6460 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
-15206342983750000 = -1 · 24 · 57 · 173 · 195 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 2 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331013,-73541687] |
[a1,a2,a3,a4,a6] |
j |
-250691079491614289664/950396436484375 |
j-invariant |
L |
1.4924541718831 |
L(r)(E,1)/r! |
Ω |
0.099496944792208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25840u1 103360bc1 58140i1 32300c1 |
Quadratic twists by: -4 8 -3 5 |