Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120t |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
935608320 = 214 · 35 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76145,-8062095] |
[a1,a2,a3,a4,a6] |
Generators |
[17195559:632829504:12167] |
Generators of the group modulo torsion |
j |
2980119295136464/57105 |
j-invariant |
L |
3.5192217573653 |
L(r)(E,1)/r! |
Ω |
0.28740130257361 |
Real period |
R |
12.244974973536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120cy1 5640c1 |
Quadratic twists by: -4 8 |