Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50430i |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
228337200 |
Modular degree for the optimal curve |
Δ |
-4.850842076691E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 1 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33921424347,2404910084618781] |
[a1,a2,a3,a4,a6] |
Generators |
[100624849:67571445388:2197] |
Generators of the group modulo torsion |
j |
-540598825531316542089721/60750000000000000 |
j-invariant |
L |
4.5363302073735 |
L(r)(E,1)/r! |
Ω |
0.028330814295345 |
Real period |
R |
10.674667189976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430o1 |
Quadratic twists by: 41 |