Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4510k |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
7937600 = 26 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90,292] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
80677568161/7937600 |
j-invariant |
L |
4.1171664939315 |
L(r)(E,1)/r! |
Ω |
2.2709953545712 |
Real period |
R |
0.3021557988985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36080t1 40590f1 22550h1 49610l1 |
Quadratic twists by: -4 -3 5 -11 |