Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400u |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-36968750000 = -1 · 24 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250,9375] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3504:1] |
Generators of the group modulo torsion |
j |
-55296/1183 |
j-invariant |
L |
5.3348445554716 |
L(r)(E,1)/r! |
Ω |
0.97106112688695 |
Real period |
R |
5.4938297989266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200k1 36400x1 |
Quadratic twists by: -4 5 |