Atkin-Lehner |
7+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9373b |
Isogeny class |
Conductor |
9373 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1312 |
Modular degree for the optimal curve |
Δ |
65611 = 72 · 13 · 103 |
Discriminant |
Eigenvalues |
-1 -3 -1 7+ -2 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] [0:5:1] |
Generators of the group modulo torsion |
j |
611960049/65611 |
j-invariant |
L |
2.3013301052745 |
L(r)(E,1)/r! |
Ω |
3.3782274254202 |
Real period |
R |
0.34061207483518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84357c1 65611e1 121849h1 |
Quadratic twists by: -3 -7 13 |