Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600v |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-261574157952000 = -1 · 210 · 39 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55155,-5046050] |
[a1,a2,a3,a4,a6] |
Generators |
[3495:206140:1] |
Generators of the group modulo torsion |
j |
-198856998932/2803221 |
j-invariant |
L |
7.9097666003435 |
L(r)(E,1)/r! |
Ω |
0.15563570773823 |
Real period |
R |
6.3527890841127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200ba1 84600cg1 |
Quadratic twists by: -3 5 |