Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018s |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15724800 |
Modular degree for the optimal curve |
Δ |
-1.2820610694715E+24 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 2 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6170219,54792825469] |
[a1,a2,a3,a4,a6] |
Generators |
[10977:1139012:1] |
Generators of the group modulo torsion |
j |
-251347109804029/12403865550848 |
j-invariant |
L |
2.3450535845537 |
L(r)(E,1)/r! |
Ω |
0.071315457363282 |
Real period |
R |
8.2207056369659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000235207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018bj1 6422j1 |
Quadratic twists by: 13 -19 |