Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980bn |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
616053296250000 = 24 · 39 · 57 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21297,-70639] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:225:1] [-113:945:1] |
Generators of the group modulo torsion |
j |
91586506572544/52816640625 |
j-invariant |
L |
11.777707904278 |
L(r)(E,1)/r! |
Ω |
0.43082259339985 |
Real period |
R |
0.10848302025945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660g1 |
Quadratic twists by: -3 |