Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ec |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-411771500000000 = -1 · 28 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -3 -1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49000,4287500] |
[a1,a2,a3,a4,a6] |
j |
-221184/7 |
j-invariant |
L |
4.2346116452446 |
L(r)(E,1)/r! |
Ω |
0.52932645565558 |
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 |
4900w1 78400lk1 19600ee1 2800bb1 |
Quadratic twists by: -4 8 5 -7 |