Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200be |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12830400000000 = 212 · 36 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14700,-664000] |
[a1,a2,a3,a4,a6] |
j |
7529536/275 |
j-invariant |
L |
3.4764397403361 |
L(r)(E,1)/r! |
Ω |
0.43455496959085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200bz2 8800z2 15840w2 |
Quadratic twists by: -4 -3 5 |