Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400cw |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-529200 = -1 · 24 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
5.119553860069 |
L(r)(E,1)/r! |
Ω |
1.0661205154544 |
Real period |
R |
2.4010202345122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800dk1 88200cs1 29400ci1 29400dv1 |
Quadratic twists by: -4 -3 5 -7 |