Atkin-Lehner |
2- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166l |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-919693292336 = -1 · 24 · 78 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -6 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3480,-91792] |
[a1,a2,a3,a4,a6] |
j |
-808509121/159536 |
j-invariant |
L |
2.4601728401281 |
L(r)(E,1)/r! |
Ω |
0.30752160905043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166u1 |
Quadratic twists by: -7 |