Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cx |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1164956219882864640 = 224 · 39 · 5 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17871548,-29075282049] |
[a1,a2,a3,a4,a6] |
Generators |
[11957:1205061:1] |
Generators of the group modulo torsion |
j |
865929782249693257251961/1598019506012160 |
j-invariant |
L |
9.4404938252457 |
L(r)(E,1)/r! |
Ω |
0.073427554058467 |
Real period |
R |
5.3570340956772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270s1 |
Quadratic twists by: -3 |