Atkin-Lehner |
2+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7462d |
Isogeny class |
Conductor |
7462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-104468 = -1 · 22 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ -2 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] [0:5:1] |
Generators of the group modulo torsion |
j |
-594823321/104468 |
j-invariant |
L |
2.909223986941 |
L(r)(E,1)/r! |
Ω |
3.224453861576 |
Real period |
R |
0.22555943671635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696t1 67158bu1 52234g1 97006t1 |
Quadratic twists by: -4 -3 -7 13 |