Atkin-Lehner |
2- 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650n |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-1697656250000 = -1 · 24 · 511 · 41 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 5 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-508088,-139609719] |
[a1,a2,a3,a4,a6] |
j |
-928368835557960889/108650000 |
j-invariant |
L |
5.7222228185371 |
L(r)(E,1)/r! |
Ω |
0.089409736926505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21730b1 |
Quadratic twists by: 5 |