Atkin-Lehner |
2- 3+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538o |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-2013996087595008 = -1 · 212 · 34 · 114 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11- -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27194,2752967] |
[a1,a2,a3,a4,a6] |
Generators |
[603:14053:1] [81:-1085:1] |
Generators of the group modulo torsion |
j |
-2224047149054299297/2013996087595008 |
j-invariant |
L |
9.1200106807275 |
L(r)(E,1)/r! |
Ω |
0.42560463534684 |
Real period |
R |
0.074404038684215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614j1 |
Quadratic twists by: -3 |