Atkin-Lehner |
3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94221h |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
9694336668744087 = 39 · 198 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 2 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55301,-1602970] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:-1580:1] [-1098:15269:8] |
Generators of the group modulo torsion |
j |
1510633/783 |
j-invariant |
L |
5.7390638256107 |
L(r)(E,1)/r! |
Ω |
0.32944167781523 |
Real period |
R |
2.9034293534904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31407c1 94221l1 |
Quadratic twists by: -3 -19 |