Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10332a |
Isogeny class |
Conductor |
10332 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
24305432562432 = 28 · 39 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8991,-226746] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:98:1] |
Generators of the group modulo torsion |
j |
15952047984/4823609 |
j-invariant |
L |
4.030740147288 |
L(r)(E,1)/r! |
Ω |
0.50177742020698 |
Real period |
R |
0.89254716997946 |
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 |
41328q2 10332b2 72324b2 |
Quadratic twists by: -4 -3 -7 |