Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360x |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6383061273600 = -1 · 210 · 34 · 52 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4280,-57668] |
[a1,a2,a3,a4,a6] |
Generators |
[22:216:1] [29:300:1] |
Generators of the group modulo torsion |
j |
8465518982876/6233458275 |
j-invariant |
L |
7.0537264215033 |
L(r)(E,1)/r! |
Ω |
0.4218932808105 |
Real period |
R |
4.1798049070329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720be3 91080m3 |
Quadratic twists by: -4 -3 |