Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2838f |
Isogeny class |
Conductor |
2838 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
-40417098467328 = -1 · 211 · 36 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7996,134160] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:268:1] |
Generators of the group modulo torsion |
j |
56537769879658943/40417098467328 |
j-invariant |
L |
4.8305275903402 |
L(r)(E,1)/r! |
Ω |
0.40964258170424 |
Real period |
R |
0.089333745127715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22704t2 90816e2 8514b2 70950f2 |
Quadratic twists by: -4 8 -3 5 |