Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bl |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
10298880 |
Modular degree for the optimal curve |
Δ |
-5.6888029341063E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16742663,-44852794369] |
[a1,a2,a3,a4,a6] |
Generators |
[256435:129712062:1] |
Generators of the group modulo torsion |
j |
-19223547312770737653670227/21069640496690128486400 |
j-invariant |
L |
8.6553655234708 |
L(r)(E,1)/r! |
Ω |
0.035776624887688 |
Real period |
R |
9.0722981307323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65790o2 |
Quadratic twists by: -3 |