Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240b |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-573806250000000000 = -1 · 210 · 32 · 514 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2630016,-1641197520] |
[a1,a2,a3,a4,a6] |
Generators |
[2578252524474:40223732065122:1298596571] |
Generators of the group modulo torsion |
j |
-1964712880462127150596/560357666015625 |
j-invariant |
L |
4.3672773636773 |
L(r)(E,1)/r! |
Ω |
0.059275130257644 |
Real period |
R |
18.419518205589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12120o2 96960ec2 72720u2 121200bd2 |
Quadratic twists by: -4 8 -3 5 |