Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140l |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-135672826800 = -1 · 24 · 3 · 52 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,719,-15856] |
[a1,a2,a3,a4,a6] |
Generators |
[79:735:1] |
Generators of the group modulo torsion |
j |
21807104/72075 |
j-invariant |
L |
8.6632302997453 |
L(r)(E,1)/r! |
Ω |
0.52939133764336 |
Real period |
R |
1.363709239431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1860a1 |
Quadratic twists by: -7 |