Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bg |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-61023438249984 = -1 · 213 · 36 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4702,-355935] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3359:1] |
Generators of the group modulo torsion |
j |
529475129/2809856 |
j-invariant |
L |
11.331945194366 |
L(r)(E,1)/r! |
Ω |
0.31308057725836 |
Real period |
R |
0.46403820309495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13454c1 121086bh1 |
Quadratic twists by: -3 -31 |