Atkin-Lehner |
3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105be |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
663099838025625 = 32 · 54 · 78 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38270,-2617630] |
[a1,a2,a3,a4,a6] |
Generators |
[-1106:2419:8] [-120:574:1] |
Generators of the group modulo torsion |
j |
52687982361169/5636255625 |
j-invariant |
L |
6.75807927294 |
L(r)(E,1)/r! |
Ω |
0.34370276449855 |
Real period |
R |
2.4578211077623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968831 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015l2 |
Quadratic twists by: -7 |