Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104i |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-13265160048 = -1 · 24 · 35 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -5 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,-1931] |
[a1,a2,a3,a4,a6] |
Generators |
[6:41:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
4.201165718874 |
L(r)(E,1)/r! |
Ω |
0.72100904949222 |
Real period |
R |
2.9133931965436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208y1 102312bh1 696c1 |
Quadratic twists by: -4 -3 -7 |