Atkin-Lehner |
11- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
121363c |
Isogeny class |
Conductor |
121363 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-30206886611 = -1 · 116 · 172 · 59 |
Discriminant |
Eigenvalues |
-1 1 1 -3 11- 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,13399] |
[a1,a2,a3,a4,a6] |
Generators |
[21:50:1] [-9:149:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
8.425699687066 |
L(r)(E,1)/r! |
Ω |
1.1067813403233 |
Real period |
R |
1.9031988019835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003b1 |
Quadratic twists by: -11 |