Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300u |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
521856 |
Modular degree for the optimal curve |
Δ |
31012243200 = 28 · 36 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355308,81400068] |
[a1,a2,a3,a4,a6] |
Generators |
[372:918:1] |
Generators of the group modulo torsion |
j |
775103893688530000/4845663 |
j-invariant |
L |
9.2337255549693 |
L(r)(E,1)/r! |
Ω |
0.80289247402406 |
Real period |
R |
0.31946043042627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300r1 |
Quadratic twists by: 5 |