Atkin-Lehner |
2- 3- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41538o |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
332304 = 24 · 3 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-434,3444] |
[a1,a2,a3,a4,a6] |
j |
9041811349537/332304 |
j-invariant |
L |
2.84985395564 |
L(r)(E,1)/r! |
Ω |
2.8498539555535 |
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 |
124614h1 |
Quadratic twists by: -3 |