Atkin-Lehner |
3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605d |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1482975 = -1 · 33 · 52 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] [0:7:1] |
Generators of the group modulo torsion |
j |
729/25 |
j-invariant |
L |
3.3317779766649 |
L(r)(E,1)/r! |
Ω |
2.0285457996203 |
Real period |
R |
0.8212232568992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680co1 7605h1 38025n1 7605g1 |
Quadratic twists by: -4 -3 5 13 |