Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bo |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-6209330400000000 = -1 · 211 · 38 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36408,4627188] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:-2700:1] [-198:2028:1] |
Generators of the group modulo torsion |
j |
-166792350818/194041575 |
j-invariant |
L |
12.997777131435 |
L(r)(E,1)/r! |
Ω |
0.38428466917323 |
Real period |
R |
0.52848912285708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600h2 21840e2 |
Quadratic twists by: -4 5 |