Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400b |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
282368326500000000 = 28 · 32 · 59 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20602508,36000705012] |
[a1,a2,a3,a4,a6] |
Generators |
[122:183000:1] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
5.1733158217226 |
L(r)(E,1)/r! |
Ω |
0.24760586660678 |
Real period |
R |
5.2233372924094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280bb1 7800o1 |
Quadratic twists by: 5 13 |