Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840be |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7442792448000000000 = 230 · 3 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13636376,19386011376] |
[a1,a2,a3,a4,a6] |
Generators |
[53955212:-5368524800:4913] |
Generators of the group modulo torsion |
j |
68463752473882049153689/1817088000000000 |
j-invariant |
L |
4.5306957751007 |
L(r)(E,1)/r! |
Ω |
0.21812510535169 |
Real period |
R |
10.385544038582 |
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 |
2730p5 87360gu5 65520eb5 109200gd5 |
Quadratic twists by: -4 8 -3 5 |