Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240q |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-6361545600000 = -1 · 210 · 39 · 55 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -3 -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8920,343268] |
[a1,a2,a3,a4,a6] |
Generators |
[206:-2700:1] [-94:600:1] |
Generators of the group modulo torsion |
j |
-76659680596324/6212446875 |
j-invariant |
L |
8.407621667515 |
L(r)(E,1)/r! |
Ω |
0.73761398856616 |
Real period |
R |
0.063324462371934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12120m1 96960cc1 72720l1 121200r1 |
Quadratic twists by: -4 8 -3 5 |