Atkin-Lehner |
2+ 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040j |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
24463918080 = 210 · 35 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2976,-63036] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:18:1] [-30:12:1] |
Generators of the group modulo torsion |
j |
2847530996356/23890545 |
j-invariant |
L |
11.42840836369 |
L(r)(E,1)/r! |
Ω |
0.64669418327437 |
Real period |
R |
1.7672044467913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520b1 |
Quadratic twists by: -4 |