Atkin-Lehner |
2- 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bh |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-7314624000 = -1 · 29 · 34 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,110,4100] |
[a1,a2,a3,a4,a6] |
Generators |
[20:110:1] |
Generators of the group modulo torsion |
j |
147114332639/7314624000 |
j-invariant |
L |
12.264503264643 |
L(r)(E,1)/r! |
Ω |
1.0047566800866 |
Real period |
R |
0.11302260304816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990t1 |
Quadratic twists by: -3 |