Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605n |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
140891643782162325 = 312 · 52 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2625278,-1636478944] |
[a1,a2,a3,a4,a6] |
Generators |
[55650:1087139:27] |
Generators of the group modulo torsion |
j |
258840217117/18225 |
j-invariant |
L |
2.6331627723017 |
L(r)(E,1)/r! |
Ω |
0.11860625073237 |
Real period |
R |
5.5502192254677 |
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 |
121680ej2 2535m2 38025by2 7605v2 |
Quadratic twists by: -4 -3 5 13 |