Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336bi |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-162528183327744 = -1 · 210 · 311 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 -4 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9809,-721641] |
[a1,a2,a3,a4,a6] |
j |
-101939437643008/158718929031 |
j-invariant |
L |
7.5046473232525 |
L(r)(E,1)/r! |
Ω |
0.22741355187864 |
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 |
102336by1 12792b1 |
Quadratic twists by: -4 8 |