Atkin-Lehner |
2+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870t |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
76219839243437500 = 22 · 57 · 139 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 2 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10321003,12761491498] |
[a1,a2,a3,a4,a6] |
Generators |
[2549:53650:1] |
Generators of the group modulo torsion |
j |
11465663552898157/7187500 |
j-invariant |
L |
5.0650375575454 |
L(r)(E,1)/r! |
Ω |
0.28407034679503 |
Real period |
R |
0.63679366933109 |
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 |
38870bd1 |
Quadratic twists by: 13 |