Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336c |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-477605888 = -1 · 212 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 1 -4 4 2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115,-901] |
[a1,a2,a3,a4,a6] |
j |
40707584/116603 |
j-invariant |
L |
1.7048328242239 |
L(r)(E,1)/r! |
Ω |
0.85241641211195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10336e1 20672bf1 93024z1 |
Quadratic twists by: -4 8 -3 |