Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670bb |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-13502440 = -1 · 23 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85380,-9638035] |
[a1,a2,a3,a4,a6] |
Generators |
[1577064510:-820887342497:5832] |
Generators of the group modulo torsion |
j |
-1404741462892934929/275560 |
j-invariant |
L |
13.472826590213 |
L(r)(E,1)/r! |
Ω |
0.13964664134362 |
Real period |
R |
16.079664192163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670j1 |
Quadratic twists by: -7 |