Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260v |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2491735530240 = -1 · 28 · 314 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225912,-41329276] |
[a1,a2,a3,a4,a6] |
Generators |
[7121608:400832550:2197] |
Generators of the group modulo torsion |
j |
-6832413147111424/13351635 |
j-invariant |
L |
7.4053004178319 |
L(r)(E,1)/r! |
Ω |
0.10949257841649 |
Real period |
R |
11.272149711222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420d1 |
Quadratic twists by: -3 |