Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200ba |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
772031250000 = 24 · 34 · 510 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2383,13988] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1350:1] |
Generators of the group modulo torsion |
j |
5988775936/3088125 |
j-invariant |
L |
7.2039345911296 |
L(r)(E,1)/r! |
Ω |
0.79060377384253 |
Real period |
R |
2.2779851395584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600b1 14640e1 |
Quadratic twists by: -4 5 |