Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880o |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-4.5105850437599E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1624225,1296270625] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:26368:1] |
Generators of the group modulo torsion |
j |
-1807684483034720809/1720651643280000 |
j-invariant |
L |
7.1876945484514 |
L(r)(E,1)/r! |
Ω |
0.15220824923665 |
Real period |
R |
0.98380762840793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880by1 3090c1 |
Quadratic twists by: -4 8 |