Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992f |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69979521024 = 214 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124956,-17001360] |
[a1,a2,a3,a4,a6] |
Generators |
[117988:4965011:64] |
Generators of the group modulo torsion |
j |
669088897776/217 |
j-invariant |
L |
5.2801939169204 |
L(r)(E,1)/r! |
Ω |
0.25392782017748 |
Real period |
R |
10.397037140015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999287598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ec2 7812a2 124992e2 |
Quadratic twists by: -4 8 -3 |