Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880x |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
7910400 = 210 · 3 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-405,3003] |
[a1,a2,a3,a4,a6] |
Generators |
[47:300:1] |
Generators of the group modulo torsion |
j |
7192182784/7725 |
j-invariant |
L |
7.2246897779443 |
L(r)(E,1)/r! |
Ω |
2.3274687770267 |
Real period |
R |
3.1040973955439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880bl1 6180a1 |
Quadratic twists by: -4 8 |