Atkin-Lehner |
2- 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bl |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
35479475265208320 = 228 · 39 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83147,-1720101] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:138:1] |
Generators of the group modulo torsion |
j |
87202922421247849/48668690350080 |
j-invariant |
L |
7.1645310342845 |
L(r)(E,1)/r! |
Ω |
0.30181682023949 |
Real period |
R |
1.6955721964414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40290e1 |
Quadratic twists by: -3 |