Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bm |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
-3.9318521477349E+20 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 11- 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202172711,1106501264124] |
[a1,a2,a3,a4,a6] |
Generators |
[-4324:1380507:1] |
Generators of the group modulo torsion |
j |
-31065720163202550799/13365564003 |
j-invariant |
L |
5.9297951350978 |
L(r)(E,1)/r! |
Ω |
0.13742714644316 |
Real period |
R |
3.5957204093176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723h1 92169bg1 |
Quadratic twists by: -3 -7 |