Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159c |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35904 |
Modular degree for the optimal curve |
Δ |
-10295583597 = -1 · 33 · 136 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 0 1 1 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,475,-2934] |
[a1,a2,a3,a4,a6] |
Generators |
[14:72:1] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
4.0300703304545 |
L(r)(E,1)/r! |
Ω |
0.70823937648236 |
Real period |
R |
2.8451329408433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999265271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159a1 711a1 |
Quadratic twists by: -3 13 |