Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432f |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7573176576 = 28 · 32 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-652,-4640] |
[a1,a2,a3,a4,a6] |
Generators |
[92:840:1] |
Generators of the group modulo torsion |
j |
119920231888/29582721 |
j-invariant |
L |
4.8240820507946 |
L(r)(E,1)/r! |
Ω |
0.96171246856065 |
Real period |
R |
2.5080687879687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6216i2 49728et2 37296be2 87024bk2 |
Quadratic twists by: -4 8 -3 -7 |