Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169u |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-13829360181021 = -1 · 313 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11+ 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3474,-194643] |
[a1,a2,a3,a4,a6] |
j |
-18546494023/55307043 |
j-invariant |
L |
2.2998710693747 |
L(r)(E,1)/r! |
Ω |
0.28748387268191 |
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 |
30723bd1 92169o1 |
Quadratic twists by: -3 -7 |