Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728f |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
484683300864 = 214 · 32 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2609,39729] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:245:1] |
Generators of the group modulo torsion |
j |
119920231888/29582721 |
j-invariant |
L |
3.7134428998211 |
L(r)(E,1)/r! |
Ω |
0.87509859501356 |
Real period |
R |
2.1217282949534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728et2 6216i2 |
Quadratic twists by: -4 8 |