Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344j |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31704647353344 = 210 · 36 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9424,228124] |
[a1,a2,a3,a4,a6] |
Generators |
[89:294:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
3.3408731037097 |
L(r)(E,1)/r! |
Ω |
0.60544080580884 |
Real period |
R |
2.7590419010877 |
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 |
44688bc2 67032cr2 456b2 |
Quadratic twists by: -4 -3 -7 |