Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cv |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3006657940572 = -1 · 22 · 32 · 113 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3292,41196] |
[a1,a2,a3,a4,a6] |
Generators |
[5620:418534:1] |
Generators of the group modulo torsion |
j |
614125/468 |
j-invariant |
L |
13.431818682179 |
L(r)(E,1)/r! |
Ω |
0.51310766381457 |
Real period |
R |
6.5443470920383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694bb1 9438j1 |
Quadratic twists by: -11 13 |