Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360n |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
157980766521600 = 28 · 36 · 52 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95260,-11332192] |
[a1,a2,a3,a4,a6] |
Generators |
[788:20088:1] |
Generators of the group modulo torsion |
j |
373439314688552656/617112369225 |
j-invariant |
L |
7.3911600281977 |
L(r)(E,1)/r! |
Ω |
0.27177821138144 |
Real period |
R |
4.5325929493691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720j2 91080bq2 |
Quadratic twists by: -4 -3 |