Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646u |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-4.0251048532672E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5534982,5105617204] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:90017:1] |
Generators of the group modulo torsion |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
5.2765103567507 |
L(r)(E,1)/r! |
Ω |
0.16842201789544 |
Real period |
R |
0.32634479754966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bj1 7038d1 |
Quadratic twists by: -3 17 |