Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938c |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-175919477550609826 = -1 · 2 · 118 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 11- 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24041,-20224649] |
[a1,a2,a3,a4,a6] |
j |
-297/34 |
j-invariant |
L |
0.28458432903062 |
L(r)(E,1)/r! |
Ω |
0.14229216721497 |
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 |
69938m1 4114a1 |
Quadratic twists by: -11 17 |