Atkin-Lehner |
2+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802c |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-751555399512574976 = -1 · 210 · 117 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 1 -3 4 11- 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,182225,29054242] |
[a1,a2,a3,a4,a6] |
Generators |
[686:21497:1] |
Generators of the group modulo torsion |
j |
2315544715329826103/2600537714576384 |
j-invariant |
L |
5.6611221016166 |
L(r)(E,1)/r! |
Ω |
0.18920873560014 |
Real period |
R |
0.53428540735408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999728189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120802b1 |
Quadratic twists by: 17 |