Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702ce |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-84873096 = -1 · 23 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,627] |
[a1,a2,a3,a4,a6] |
Generators |
[11:21:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
5.4768810122485 |
L(r)(E,1)/r! |
Ω |
1.7684000831552 |
Real period |
R |
0.25809021124133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616fp1 3234d1 9702bp1 106722dq1 |
Quadratic twists by: -4 -3 -7 -11 |