Atkin-Lehner |
2- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101824j |
Isogeny class |
Conductor |
101824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
3884207137350565888 = 214 · 375 · 434 |
Discriminant |
Eigenvalues |
2- 3 0 -1 -3 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65514880,204107043296] |
[a1,a2,a3,a4,a6] |
Generators |
[-979689039:117512666659:185193] |
Generators of the group modulo torsion |
j |
1898119813080763662336000/237073189535557 |
j-invariant |
L |
11.197452961715 |
L(r)(E,1)/r! |
Ω |
0.19259123385443 |
Real period |
R |
14.53525778483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101824b1 25456e1 |
Quadratic twists by: -4 8 |