Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690b |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-110700000 = -1 · 25 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 0 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21459,-1204587] |
[a1,a2,a3,a4,a6] |
j |
-40476203551642923/4100000 |
j-invariant |
L |
1.9722694051085 |
L(r)(E,1)/r! |
Ω |
0.19722694051085 |
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 |
29520bc1 118080a1 3690n1 18450bb1 |
Quadratic twists by: -4 8 -3 5 |