Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bw |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-956275147265625 = -1 · 37 · 58 · 113 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11- -6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12258,1390041] |
[a1,a2,a3,a4,a6] |
Generators |
[144:2403:1] [-56:753:1] |
Generators of the group modulo torsion |
j |
715278335/3358113 |
j-invariant |
L |
12.096827007783 |
L(r)(E,1)/r! |
Ω |
0.35563040913523 |
Real period |
R |
0.47243284573663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925z1 71775bh1 |
Quadratic twists by: -3 5 |