Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cm |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.0988920719038E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52636152,-147003355179] |
[a1,a2,a3,a4,a6] |
Generators |
[316427453860790928526102693265:11310947067697801359324082187943:35204621052054081403986049] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
10.30370736659 |
L(r)(E,1)/r! |
Ω |
0.056050481195376 |
Real period |
R |
45.957265427723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11154d2 9438e2 |
Quadratic twists by: -11 13 |