Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430da |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
428749127185050000 = 24 · 39 · 55 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-562358,-159091019] |
[a1,a2,a3,a4,a6] |
j |
8493409990827/185150000 |
j-invariant |
L |
2.7931382215246 |
L(r)(E,1)/r! |
Ω |
0.17457113611799 |
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 |
101430l1 14490bj1 |
Quadratic twists by: -3 -7 |