Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630u |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
388059227136000000 = 216 · 36 · 56 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-298830,55148427] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:10511:1] |
Generators of the group modulo torsion |
j |
2951184677761615972321/388059227136000000 |
j-invariant |
L |
7.6860412681178 |
L(r)(E,1)/r! |
Ω |
0.28943094095964 |
Real period |
R |
0.55324375210728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64890w2 108150bd2 |
Quadratic twists by: -3 5 |