Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650b |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-402494400000000 = -1 · 212 · 33 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6558,941716] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:713:1] [-12:934:1] |
Generators of the group modulo torsion |
j |
73929353373/954060800 |
j-invariant |
L |
6.473412118769 |
L(r)(E,1)/r! |
Ω |
0.39404711296837 |
Real period |
R |
1.3690012999553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650ck3 6930t1 |
Quadratic twists by: -3 5 |