Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550z |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
267751108996875000 = 23 · 39 · 58 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-272742,-48778084] |
[a1,a2,a3,a4,a6] |
j |
291829602195/34824104 |
j-invariant |
L |
2.5264921150847 |
L(r)(E,1)/r! |
Ω |
0.21054101585329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550du1 116550cw2 |
Quadratic twists by: -3 5 |