Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dm |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-37981716480000 = -1 · 219 · 37 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16208,842388] |
[a1,a2,a3,a4,a6] |
Generators |
[34:576:1] |
Generators of the group modulo torsion |
j |
-183949590625/14836608 |
j-invariant |
L |
8.6518347516205 |
L(r)(E,1)/r! |
Ω |
0.63562990180442 |
Real period |
R |
0.48612265944324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bj1 63600bf1 |
Quadratic twists by: -4 5 |