Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600br |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-169738240000000 = -1 · 223 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-626688] |
[a1,a2,a3,a4,a6] |
j |
-4826809/2652160 |
j-invariant |
L |
4.117606132375 |
L(r)(E,1)/r! |
Ω |
0.25735037298238 |
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 |
12950m1 20720h1 |
Quadratic twists by: -4 5 |