Atkin-Lehner |
2+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3478a |
Isogeny class |
Conductor |
3478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
952 |
Modular degree for the optimal curve |
Δ |
-227934208 = -1 · 217 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263,-1731] |
[a1,a2,a3,a4,a6] |
j |
-2016134440137/227934208 |
j-invariant |
L |
0.58890871008901 |
L(r)(E,1)/r! |
Ω |
0.58890871008901 |
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 |
27824d1 111296a1 31302o1 86950q1 |
Quadratic twists by: -4 8 -3 5 |