Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bs |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-5.0677551015706E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1983750,-128689844] |
[a1,a2,a3,a4,a6] |
j |
121271000268800/71184927627 |
j-invariant |
L |
3.4976593522333 |
L(r)(E,1)/r! |
Ω |
0.097157197542157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825c1 101475ci1 |
Quadratic twists by: -3 5 |