Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314i |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-4.6983426976487E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3030255,2057697837] |
[a1,a2,a3,a4,a6] |
Generators |
[10796580:159491277:8000] |
Generators of the group modulo torsion |
j |
-4221179243287843088881/64449145372409856 |
j-invariant |
L |
4.8128816830911 |
L(r)(E,1)/r! |
Ω |
0.20198443217909 |
Real period |
R |
11.913991665484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438l1 |
Quadratic twists by: -3 |