Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920bp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-122881321363046400 = -1 · 221 · 33 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11615,16854817] |
[a1,a2,a3,a4,a6] |
Generators |
[569:14400:1] |
Generators of the group modulo torsion |
j |
661003929431/468755040600 |
j-invariant |
L |
6.6717142293332 |
L(r)(E,1)/r! |
Ω |
0.25792560786479 |
Real period |
R |
3.2333519943147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hs2 2310i2 |
Quadratic twists by: -4 8 |