Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138j |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-309047127963918336 = -1 · 213 · 37 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 6 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-427806,111079188] |
[a1,a2,a3,a4,a6] |
j |
-19968681097/712704 |
j-invariant |
L |
1.2175421581244 |
L(r)(E,1)/r! |
Ω |
0.30438553953109 |
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 |
121104cf1 5046n1 522j1 |
Quadratic twists by: -4 -3 29 |