Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488i |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54500179968 = 214 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97308,11683440] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
3.6738460338509 |
L(r)(E,1)/r! |
Ω |
0.91846150846272 |
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 |
7488bk2 468b2 7488j2 97344w2 |
Quadratic twists by: -4 8 -3 13 |