Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cq |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-72630270000 = -1 · 24 · 311 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67350,6727525] |
[a1,a2,a3,a4,a6] |
Generators |
[146:81:1] [150:5:1] |
Generators of the group modulo torsion |
j |
-4634565068800/9963 |
j-invariant |
L |
10.37854997104 |
L(r)(E,1)/r! |
Ω |
0.94134920327659 |
Real period |
R |
0.45938274619199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600t1 73800l1 |
Quadratic twists by: -3 5 |