Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600y |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-16141442800 = -1 · 24 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 3 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,3303] |
[a1,a2,a3,a4,a6] |
j |
1280 |
j-invariant |
L |
1.591321603243 |
L(r)(E,1)/r! |
Ω |
0.79566080162148 |
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 |
9800bi1 78400ie1 19600bk1 19600t1 |
Quadratic twists by: -4 8 5 -7 |