Atkin-Lehner |
2+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842d |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
326997326660984 = 23 · 76 · 193 · 373 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59055,5449802] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:772:1] [-186:3256:1] |
Generators of the group modulo torsion |
j |
22776299351008763113/326997326660984 |
j-invariant |
L |
2.904872873225 |
L(r)(E,1)/r! |
Ω |
0.54348627244444 |
Real period |
R |
0.8908145493594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78736p2 88578bq2 68894f2 |
Quadratic twists by: -4 -3 -7 |