Atkin-Lehner |
2+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6290b |
Isogeny class |
Conductor |
6290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23184 |
Modular degree for the optimal curve |
Δ |
-126054138474170 = -1 · 2 · 5 · 173 · 376 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21574,1332106] |
[a1,a2,a3,a4,a6] |
j |
-1110418778129340889/126054138474170 |
j-invariant |
L |
0.38053553320641 |
L(r)(E,1)/r! |
Ω |
0.57080329980962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50320i1 56610bh1 31450p1 106930g1 |
Quadratic twists by: -4 -3 5 17 |