Atkin-Lehner |
2- 3+ 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bh |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-1.3173244641226E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,473935,-537543601] |
[a1,a2,a3,a4,a6] |
Generators |
[17343:-2294384:1] |
Generators of the group modulo torsion |
j |
11772806398076839555439/131732446412262998016 |
j-invariant |
L |
8.0353773884318 |
L(r)(E,1)/r! |
Ω |
0.090999039871705 |
Real period |
R |
0.086570374590298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238y1 |
Quadratic twists by: -3 |