Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800by |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-48836593548000000 = -1 · 28 · 311 · 56 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83100,-14073500] |
[a1,a2,a3,a4,a6] |
Generators |
[545:10125:1] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
5.4626421541622 |
L(r)(E,1)/r! |
Ω |
0.13607061092039 |
Real period |
R |
2.5091026805024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600r1 2952b1 |
Quadratic twists by: -3 5 |