Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304eg |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5200419194361151488 = -1 · 216 · 32 · 714 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,332351,81347615] |
[a1,a2,a3,a4,a6] |
j |
526556774012/674481717 |
j-invariant |
L |
2.6023012093581 |
L(r)(E,1)/r! |
Ω |
0.16264381181575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gh3 15288u4 17472h4 |
Quadratic twists by: -4 8 -7 |