Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200q |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-69768750000 = -1 · 24 · 3 · 58 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,-12738] |
[a1,a2,a3,a4,a6] |
j |
702464/279075 |
j-invariant |
L |
2.0551912884594 |
L(r)(E,1)/r! |
Ω |
0.51379782004613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600o1 14640p1 |
Quadratic twists by: -4 5 |