Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ch |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11848320 |
Modular degree for the optimal curve |
Δ |
-1.0384173623885E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 11- 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3659945,-4094128147] |
[a1,a2,a3,a4,a6] |
Generators |
[1451:64650:1] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
6.9100660687157 |
L(r)(E,1)/r! |
Ω |
0.067141936390603 |
Real period |
R |
5.1458644314253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694s1 726b1 |
Quadratic twists by: -11 13 |