Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322h |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1129000589796186432 = 26 · 312 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-690876,214977466] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:18615:1] [-376:20721:1] |
Generators of the group modulo torsion |
j |
7555496578890625/233902064448 |
j-invariant |
L |
6.4000361289386 |
L(r)(E,1)/r! |
Ω |
0.27354362696271 |
Real period |
R |
0.48743261723933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966bd2 1794i2 |
Quadratic twists by: -3 13 |