Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ck |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
28304640 |
Modular degree for the optimal curve |
Δ |
6.0828271634976E+24 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11- 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89260311,-302160224475] |
[a1,a2,a3,a4,a6] |
Generators |
[-66552777:1856850778:12167] |
Generators of the group modulo torsion |
j |
54424690756969/4209228936 |
j-invariant |
L |
8.0404389373142 |
L(r)(E,1)/r! |
Ω |
0.04935792480103 |
Real period |
R |
4.5250185264052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154c1 122694q1 |
Quadratic twists by: -11 13 |