Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334bf |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
1031007911994368 = 210 · 7 · 119 · 61 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26038,-471611] |
[a1,a2,a3,a4,a6] |
Generators |
[-17255:94983:125] |
Generators of the group modulo torsion |
j |
827936019/437248 |
j-invariant |
L |
14.791807858948 |
L(r)(E,1)/r! |
Ω |
0.398825120056 |
Real period |
R |
7.4176911627192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103334b1 |
Quadratic twists by: -11 |