Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15708h |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-766296118896 = -1 · 24 · 3 · 73 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,230,-42019] |
[a1,a2,a3,a4,a6] |
j |
83733188864/47893507431 |
j-invariant |
L |
2.5185120204314 |
L(r)(E,1)/r! |
Ω |
0.41975200340524 |
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 |
62832x1 47124v1 109956n1 |
Quadratic twists by: -4 -3 -7 |