Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810br |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4325376 |
Modular degree for the optimal curve |
Δ |
-2917293564100608000 = -1 · 222 · 36 · 53 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5117694,4458185108] |
[a1,a2,a3,a4,a6] |
Generators |
[1357:2629:1] |
Generators of the group modulo torsion |
j |
-20333829412749837245409/4001774436352000 |
j-invariant |
L |
5.762295175481 |
L(r)(E,1)/r! |
Ω |
0.24667615285149 |
Real period |
R |
1.9466464589505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090j1 |
Quadratic twists by: -3 |