Atkin-Lehner |
3- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60225p |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1792000 |
Modular degree for the optimal curve |
Δ |
-1.1693906698766E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3806033,-2906205781] |
[a1,a2,a3,a4,a6] |
Generators |
[2269:12028:1] [3727:186259:1] |
Generators of the group modulo torsion |
j |
-390230714139735752704/7484100287210019 |
j-invariant |
L |
9.2412475570751 |
L(r)(E,1)/r! |
Ω |
0.0539830750491 |
Real period |
R |
3.4237573716118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409b1 |
Quadratic twists by: 5 |