Atkin-Lehner |
2+ 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650x |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
193098240 |
Modular degree for the optimal curve |
Δ |
7.641500259604E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2219318001,-40239788825852] |
[a1,a2,a3,a4,a6] |
Generators |
[-218474:386583:8] |
Generators of the group modulo torsion |
j |
77368164395259536135994228481/4890560166146542141440 |
j-invariant |
L |
3.8276261791918 |
L(r)(E,1)/r! |
Ω |
0.02199613203705 |
Real period |
R |
2.9002266960269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930be1 |
Quadratic twists by: 5 |