Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086f |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-6.5717574232949E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-899676,-39004236720] |
[a1,a2,a3,a4,a6] |
Generators |
[462630549746055199367938861324860725159770668360:-12166145749838414725524094109684926604214623975076:124276592991602529382050175904829652640237875] |
Generators of the group modulo torsion |
j |
-124475734657/1015742988288 |
j-invariant |
L |
5.8876899344987 |
L(r)(E,1)/r! |
Ω |
0.041369968896901 |
Real period |
R |
71.158983436758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362bd1 3906h1 |
Quadratic twists by: -3 -31 |