Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510r |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4869932476018522500 = 22 · 316 · 54 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-784690,-245901445] |
[a1,a2,a3,a4,a6] |
j |
53434051027037036566561/4869932476018522500 |
j-invariant |
L |
2.5814882231805 |
L(r)(E,1)/r! |
Ω |
0.16134301394878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080bz3 19530m4 32550t3 45570da3 |
Quadratic twists by: -4 -3 5 -7 |