Atkin-Lehner |
2+ 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184o |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2036191199232 = 218 · 3 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32129,2204895] |
[a1,a2,a3,a4,a6] |
Generators |
[45318:1846999:27] |
Generators of the group modulo torsion |
j |
13992294360673/7767453 |
j-invariant |
L |
5.5406746598042 |
L(r)(E,1)/r! |
Ω |
0.81748848789078 |
Real period |
R |
6.7776791189061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184s4 1581b4 |
Quadratic twists by: -4 8 |