Atkin-Lehner |
2- 3+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738j |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
303021105408 = 28 · 33 · 74 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10532,410789] |
[a1,a2,a3,a4,a6] |
j |
129198907308889153/303021105408 |
j-invariant |
L |
3.8892152222094 |
L(r)(E,1)/r! |
Ω |
0.97230380555239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74214j1 |
Quadratic twists by: -3 |