Atkin-Lehner |
3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605h |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1081088775 = -1 · 39 · 52 · 133 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 0 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66,-1585] |
[a1,a2,a3,a4,a6] |
Generators |
[14:37:1] |
Generators of the group modulo torsion |
j |
729/25 |
j-invariant |
L |
4.642681619737 |
L(r)(E,1)/r! |
Ω |
0.74704351592097 |
Real period |
R |
3.1073702674559 |
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 |
121680db1 7605d1 38025p1 7605c1 |
Quadratic twists by: -4 -3 5 13 |