Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470n |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6151440 = 24 · 3 · 5 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47,21] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21:1] |
Generators of the group modulo torsion |
j |
11867954041/6151440 |
j-invariant |
L |
3.9098133564043 |
L(r)(E,1)/r! |
Ω |
2.1011246335008 |
Real period |
R |
1.8608193412536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410x1 |
Quadratic twists by: -3 |