Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2451h |
Isogeny class |
Conductor |
2451 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
7353 = 32 · 19 · 43 |
Discriminant |
Eigenvalues |
-1 3- 4 4 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16,23] |
[a1,a2,a3,a4,a6] |
j |
454756609/7353 |
j-invariant |
L |
2.0947669569196 |
L(r)(E,1)/r! |
Ω |
4.1895339138392 |
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 |
39216n1 7353p1 61275c1 120099f1 |
Quadratic twists by: -4 -3 5 -7 |