Atkin-Lehner |
11- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121363d |
Isogeny class |
Conductor |
121363 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-305272034573117051 = -1 · 118 · 176 · 59 |
Discriminant |
Eigenvalues |
1 1 -3 3 11- 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,152820,13351017] |
[a1,a2,a3,a4,a6] |
Generators |
[89163:4198040:729] |
Generators of the group modulo torsion |
j |
222798505024367/172318105091 |
j-invariant |
L |
6.4604566043294 |
L(r)(E,1)/r! |
Ω |
0.1966966705456 |
Real period |
R |
8.2111921253798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11033a1 |
Quadratic twists by: -11 |