Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bd |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1446984548352 = 224 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152769,-22931775] |
[a1,a2,a3,a4,a6] |
Generators |
[497:4864:1] |
Generators of the group modulo torsion |
j |
1504154129818033/5519808 |
j-invariant |
L |
3.3453598763893 |
L(r)(E,1)/r! |
Ω |
0.2414852474431 |
Real period |
R |
3.4633170264004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ek2 1554m2 |
Quadratic twists by: -4 8 |