Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74420a |
Isogeny class |
Conductor |
74420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1317600 |
Modular degree for the optimal curve |
Δ |
245385360636519680 = 28 · 5 · 618 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 3 6 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1815848,941517188] |
[a1,a2,a3,a4,a6] |
j |
13492224/5 |
j-invariant |
L |
3.6781928321019 |
L(r)(E,1)/r! |
Ω |
0.3065160707166 |
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 |
74420b1 |
Quadratic twists by: 61 |