Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600cy |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-85432320000 = -1 · 214 · 34 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 -3 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,-13612] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-240:1] |
Generators of the group modulo torsion |
j |
2595575/33372 |
j-invariant |
L |
9.936095452958 |
L(r)(E,1)/r! |
Ω |
0.52883675878111 |
Real period |
R |
0.39142889499322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450k1 123600ba1 |
Quadratic twists by: -4 5 |