Atkin-Lehner |
2- 3+ 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cw |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
709950816036000000 = 28 · 33 · 56 · 74 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269117,-35204091] |
[a1,a2,a3,a4,a6] |
Generators |
[617:5466:1] |
Generators of the group modulo torsion |
j |
79832886731740149363/26294474668000000 |
j-invariant |
L |
11.777684236822 |
L(r)(E,1)/r! |
Ω |
0.21513432103075 |
Real period |
R |
0.11405359243174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810g1 |
Quadratic twists by: -3 |