Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800bc |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4213500000000 = -1 · 28 · 3 · 59 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8708,-330912] |
[a1,a2,a3,a4,a6] |
Generators |
[20358:2904750:1] |
Generators of the group modulo torsion |
j |
-146069264/8427 |
j-invariant |
L |
6.5445479129109 |
L(r)(E,1)/r! |
Ω |
0.24628306668347 |
Real period |
R |
6.6433190079225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600h1 95400o1 31800i1 |
Quadratic twists by: -4 -3 5 |