Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bp |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
8650752 |
Modular degree for the optimal curve |
Δ |
-6.7188177507431E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9864600,3649206125] |
[a1,a2,a3,a4,a6] |
Generators |
[23330:1913625:8] |
Generators of the group modulo torsion |
j |
582498235727347712/368659410191667 |
j-invariant |
L |
5.4926112997336 |
L(r)(E,1)/r! |
Ω |
0.068341917415003 |
Real period |
R |
2.5115494378014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999933278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39900j1 4788d1 |
Quadratic twists by: -3 5 |