Atkin-Lehner |
3+ 5+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475g |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
371956240107421875 = 33 · 510 · 234 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2230438,-1282727344] |
[a1,a2,a3,a4,a6] |
j |
78536974164640692121/23805199366875 |
j-invariant |
L |
0.49416373535725 |
L(r)(E,1)/r! |
Ω |
0.12354065926387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24495h2 |
Quadratic twists by: 5 |