Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14350h |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-28700000000 = -1 · 28 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -2 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-742,-11084] |
[a1,a2,a3,a4,a6] |
Generators |
[44:178:1] |
Generators of the group modulo torsion |
j |
-115745625/73472 |
j-invariant |
L |
1.5377654999474 |
L(r)(E,1)/r! |
Ω |
0.44459343012834 |
Real period |
R |
0.57646881987719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800ci1 129150dq1 14350v1 100450z1 |
Quadratic twists by: -4 -3 5 -7 |