Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440j |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-28119571200 = -1 · 28 · 37 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2121,37755] |
[a1,a2,a3,a4,a6] |
Generators |
[27:30:1] [39:126:1] |
Generators of the group modulo torsion |
j |
-4123922504704/109842075 |
j-invariant |
L |
9.2379728168139 |
L(r)(E,1)/r! |
Ω |
1.1796438380838 |
Real period |
R |
0.069921019791961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880b1 103320bl1 |
Quadratic twists by: -4 -3 |