Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136r |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-24985004886982656 = -1 · 224 · 38 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23316,7480496] |
[a1,a2,a3,a4,a6] |
j |
7335308807/130741056 |
j-invariant |
L |
1.1258145210644 |
L(r)(E,1)/r! |
Ω |
0.28145363026848 |
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 |
35136cc2 1098l2 11712e2 |
Quadratic twists by: -4 8 -3 |