Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290k |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-247541760 = -1 · 212 · 32 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,756] |
[a1,a2,a3,a4,a6] |
Generators |
[20:86:1] |
Generators of the group modulo torsion |
j |
-1771561/247541760 |
j-invariant |
L |
3.7391149288142 |
L(r)(E,1)/r! |
Ω |
1.39774378084 |
Real period |
R |
0.66877688530383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870bd1 |
Quadratic twists by: -3 |