Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722di |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25159680 |
Modular degree for the optimal curve |
Δ |
-6.2249443244361E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23940999,111244455405] |
[a1,a2,a3,a4,a6] |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
3.4449177987888 |
L(r)(E,1)/r! |
Ω |
0.05382684733457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574dg1 15246t1 106722gz1 |
Quadratic twists by: -3 -7 -11 |