Atkin-Lehner |
2+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842d |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
299536791589543424 = 29 · 72 · 199 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-485110,-127395960] |
[a1,a2,a3,a4,a6] |
Generators |
[-432:1479:1] [-356:643:1] |
Generators of the group modulo torsion |
j |
12625340708173344869593/299536791589543424 |
j-invariant |
L |
2.904872873225 |
L(r)(E,1)/r! |
Ω |
0.18116209081481 |
Real period |
R |
0.8908145493594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736p3 88578bq3 68894f3 |
Quadratic twists by: -4 -3 -7 |