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 |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
404091600 = 24 · 3 · 52 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615,6000] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:22:1] [17:13:1] |
Generators of the group modulo torsion |
j |
1610404796416/25255725 |
j-invariant |
L |
7.0537264215033 |
L(r)(E,1)/r! |
Ω |
1.687573123242 |
Real period |
R |
4.1798049070329 |
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 |
60720be1 91080m1 |
Quadratic twists by: -4 -3 |