Atkin-Lehner |
2+ 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117438b |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11643506451135252 = 22 · 312 · 236 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-425591,106562001] |
[a1,a2,a3,a4,a6] |
j |
57588477431113/78653268 |
j-invariant |
L |
0.80345173269064 |
L(r)(E,1)/r! |
Ω |
0.40172590103056 |
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 |
222c3 |
Quadratic twists by: -23 |