Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840s |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-87367680000 = -1 · 216 · 33 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,415,-13983] |
[a1,a2,a3,a4,a6] |
Generators |
[19:20:1] |
Generators of the group modulo torsion |
j |
120320924/1333125 |
j-invariant |
L |
7.3666326828999 |
L(r)(E,1)/r! |
Ω |
0.52966314084715 |
Real period |
R |
1.7385183415215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840co1 9480a1 |
Quadratic twists by: -4 8 |