Atkin-Lehner |
5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35695h |
Isogeny class |
Conductor |
35695 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-143717886125 = -1 · 53 · 117 · 59 |
Discriminant |
Eigenvalues |
-1 -3 5- 2 11- 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1308,-1284] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-321:1] |
Generators of the group modulo torsion |
j |
139798359/81125 |
j-invariant |
L |
2.3105069055932 |
L(r)(E,1)/r! |
Ω |
0.61218028407413 |
Real period |
R |
0.62903771043178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3245d1 |
Quadratic twists by: -11 |