Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770r |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-54390000 = -1 · 24 · 3 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,80,257] |
[a1,a2,a3,a4,a6] |
j |
56578878719/54390000 |
j-invariant |
L |
2.6136257249857 |
L(r)(E,1)/r! |
Ω |
1.3068128624928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160db1 23310h1 38850bj1 54390cp1 |
Quadratic twists by: -4 -3 5 -7 |