Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488j |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-789654528 = -1 · 210 · 33 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-672,-6840] |
[a1,a2,a3,a4,a6] |
j |
-1213857792/28561 |
j-invariant |
L |
1.8727639927871 |
L(r)(E,1)/r! |
Ω |
0.46819099819678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488bl1 468a1 7488i1 97344v1 |
Quadratic twists by: -4 8 -3 13 |