Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cz |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1876436471454105600 = -1 · 218 · 33 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,263133,40552226] |
[a1,a2,a3,a4,a6] |
Generators |
[3367:197730:1] |
Generators of the group modulo torsion |
j |
3774555693/3515200 |
j-invariant |
L |
4.6037152723331 |
L(r)(E,1)/r! |
Ω |
0.17249298345527 |
Real period |
R |
1.6680806139524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210e1 121680cm3 9360bb1 |
Quadratic twists by: -4 -3 13 |