Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744i |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-56175631266816 = -1 · 210 · 36 · 175 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 0 -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,-358094] |
[a1,a2,a3,a4,a6] |
Generators |
[299:5202:1] |
Generators of the group modulo torsion |
j |
1804870652/75252421 |
j-invariant |
L |
3.9298841822433 |
L(r)(E,1)/r! |
Ω |
0.30133563915142 |
Real period |
R |
0.6520775738392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998281383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64872e1 14416b1 |
Quadratic twists by: -4 -3 |