Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630be |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
40422836160 = 26 · 35 · 5 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-414735,102768057] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-177:1] |
Generators of the group modulo torsion |
j |
7889252211689759069041/40422836160 |
j-invariant |
L |
9.8851341527962 |
L(r)(E,1)/r! |
Ω |
0.77839918891281 |
Real period |
R |
0.42331039966793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890l2 108150h2 |
Quadratic twists by: -3 5 |