Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104h |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
-582393586747392 = -1 · 211 · 35 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102328,12686668] |
[a1,a2,a3,a4,a6] |
Generators |
[621:13720:1] |
Generators of the group modulo torsion |
j |
-1433834750/7047 |
j-invariant |
L |
3.5993517443448 |
L(r)(E,1)/r! |
Ω |
0.51928959773905 |
Real period |
R |
3.465649764617 |
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 |
68208x1 102312bg1 34104s1 |
Quadratic twists by: -4 -3 -7 |