Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900z |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.3746178024487E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5345033,4787900688] |
[a1,a2,a3,a4,a6] |
Generators |
[-947:94875:1] |
Generators of the group modulo torsion |
j |
-67551493811790659584/549847120979475 |
j-invariant |
L |
8.6012308232759 |
L(r)(E,1)/r! |
Ω |
0.18519359476371 |
Real period |
R |
0.12901260368724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180d1 |
Quadratic twists by: 5 |