Atkin-Lehner |
3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105be |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-19404999588975 = -1 · 3 · 52 · 77 · 11 · 134 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3135,-199578] |
[a1,a2,a3,a4,a6] |
Generators |
[90:861:1] [297:5051:1] |
Generators of the group modulo torsion |
j |
28962726911/164939775 |
j-invariant |
L |
6.75807927294 |
L(r)(E,1)/r! |
Ω |
0.34370276449855 |
Real period |
R |
9.8312844310492 |
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 |
15015l1 |
Quadratic twists by: -7 |