Atkin-Lehner |
3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525bl |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135680 |
Modular degree for the optimal curve |
Δ |
667775390625 = 36 · 59 · 7 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10617,-416584] |
[a1,a2,a3,a4,a6] |
j |
92959677/469 |
j-invariant |
L |
1.8818680219857 |
L(r)(E,1)/r! |
Ω |
0.47046689687975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11725e1 105525bp1 |
Quadratic twists by: -3 5 |