Atkin-Lehner |
5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
71225d |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-18117859375 = -1 · 56 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133,6416] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1388:1] |
Generators of the group modulo torsion |
j |
16581375/1159543 |
j-invariant |
L |
7.0130331717089 |
L(r)(E,1)/r! |
Ω |
0.93619752513627 |
Real period |
R |
3.7454879894003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849b1 |
Quadratic twists by: 5 |