Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4940h |
Isogeny class |
Conductor |
4940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
-19760 = -1 · 24 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 3 2 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,10] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-1048576/1235 |
j-invariant |
L |
3.70016747059 |
L(r)(E,1)/r! |
Ω |
3.4880435361289 |
Real period |
R |
1.0608145891139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19760x1 79040a1 44460l1 24700a1 |
Quadratic twists by: -4 8 -3 5 |