Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ep |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
4762800 |
Modular degree for the optimal curve |
Δ |
-818116853058288000 = -1 · 27 · 36 · 53 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13319312,-18706591501] |
[a1,a2,a3,a4,a6] |
j |
-62180929511972089/194672000 |
j-invariant |
L |
2.4893706028594 |
L(r)(E,1)/r! |
Ω |
0.039513821344665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270b1 101430dt1 |
Quadratic twists by: -3 -7 |