Atkin-Lehner |
2- 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bx |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5688605700 = -1 · 22 · 37 · 52 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8778,-320229] |
[a1,a2,a3,a4,a6] |
j |
-2992082232185545/227544228 |
j-invariant |
L |
3.9458305627754 |
L(r)(E,1)/r! |
Ω |
0.24661439651538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bj1 |
Quadratic twists by: 5 |