Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-219978165109248000 = -1 · 212 · 32 · 53 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11928,-22567248] |
[a1,a2,a3,a4,a6] |
Generators |
[346:3822:1] |
Generators of the group modulo torsion |
j |
-366600498893/429644853729 |
j-invariant |
L |
6.9319301020029 |
L(r)(E,1)/r! |
Ω |
0.14226150758197 |
Real period |
R |
1.2181668501302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825l2 109200gv2 |
Quadratic twists by: -4 5 |