Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ie |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
397825504247808 = 216 · 34 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2664097,-1674570913] |
[a1,a2,a3,a4,a6] |
Generators |
[-227217633366342517:-2443063197213540:241094786157919] |
Generators of the group modulo torsion |
j |
271210066309732/51597 |
j-invariant |
L |
11.355452142769 |
L(r)(E,1)/r! |
Ω |
0.11817130665551 |
Real period |
R |
24.023285484005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bw4 30576e4 17472cf4 |
Quadratic twists by: -4 8 -7 |