Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400bs |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-31715610432480000 = -1 · 28 · 35 · 54 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 6 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18308,8615088] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:3042:1] |
Generators of the group modulo torsion |
j |
-5200/243 |
j-invariant |
L |
10.27582186306 |
L(r)(E,1)/r! |
Ω |
0.30718555662515 |
Real period |
R |
1.1150504544259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400cc1 101400dq1 |
Quadratic twists by: 5 13 |