Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2130d |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3773231100 = -1 · 22 · 312 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2429,45956] |
[a1,a2,a3,a4,a6] |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
1.868559264687 |
L(r)(E,1)/r! |
Ω |
1.4014194485152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17040n1 68160j1 6390u1 10650u1 |
Quadratic twists by: -4 8 -3 5 |