Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600by |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-13626857488384000 = -1 · 233 · 53 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-313115,-67671350] |
[a1,a2,a3,a4,a6] |
j |
-6630791484555909/26614956032 |
j-invariant |
L |
0.80710352830835 |
L(r)(E,1)/r! |
Ω |
0.10088794223674 |
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 |
12950t1 103600cb1 |
Quadratic twists by: -4 5 |