Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
262080 = 26 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5460,157122] |
[a1,a2,a3,a4,a6] |
Generators |
[47:46:1] [143:1510:1] |
Generators of the group modulo torsion |
j |
281320386197824/4095 |
j-invariant |
L |
9.7229009049869 |
L(r)(E,1)/r! |
Ω |
2.2056548217777 |
Real period |
R |
8.8163395368151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hg1 43680bu4 |
Quadratic twists by: -4 8 |