Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
114b |
Isogeny class |
Conductor |
114 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-42633378 = -1 · 2 · 310 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85,-473] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/42633378 |
j-invariant |
L |
0.76357205651559 |
L(r)(E,1)/r! |
Ω |
0.76357205651559 |
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 |
912h2 3648j2 342b2 2850ba2 |
Quadratic twists by: -4 8 -3 5 |