Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200bd |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7.6279907617335E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505908,4204519812] |
[a1,a2,a3,a4,a6] |
Generators |
[64922:16541000:1] |
Generators of the group modulo torsion |
j |
-3579968623693264/1906997690433375 |
j-invariant |
L |
4.3635707333445 |
L(r)(E,1)/r! |
Ω |
0.10680039416158 |
Real period |
R |
5.1071566350479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20400bk1 81600eb1 30600s1 2040f1 |
Quadratic twists by: -4 8 -3 5 |