Atkin-Lehner |
3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
435d |
Isogeny class |
Conductor |
435 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
951345 = 38 · 5 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30,-45] |
[a1,a2,a3,a4,a6] |
j |
2992209121/951345 |
j-invariant |
L |
1.0453865675879 |
L(r)(E,1)/r! |
Ω |
2.0907731351759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6960be1 27840i1 1305c1 2175b1 |
Quadratic twists by: -4 8 -3 5 |