Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360x |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
92172960000 = 28 · 32 · 54 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1220,-7068] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:66:1] [-26:80:1] |
Generators of the group modulo torsion |
j |
785089500496/360050625 |
j-invariant |
L |
7.0537264215033 |
L(r)(E,1)/r! |
Ω |
0.84378656162099 |
Real period |
R |
1.0449512267582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720be2 91080m2 |
Quadratic twists by: -4 -3 |