Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600cc |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-20412000000 = -1 · 28 · 36 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,-6750] |
[a1,a2,a3,a4,a6] |
j |
432/7 |
j-invariant |
L |
2.3715169957822 |
L(r)(E,1)/r! |
Ω |
0.59287924894556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200bf1 100800fp1 1400a1 504c1 |
Quadratic twists by: -4 8 -3 5 |