Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690q |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1078769531250 = 2 · 32 · 510 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65266,-6444691] |
[a1,a2,a3,a4,a6] |
Generators |
[21294:1082951:8] |
Generators of the group modulo torsion |
j |
30745751866050712609/1078769531250 |
j-invariant |
L |
4.6924434137185 |
L(r)(E,1)/r! |
Ω |
0.29869550370008 |
Real period |
R |
7.8548946261175 |
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 |
77520cd2 29070t2 48450p2 |
Quadratic twists by: -4 -3 5 |