Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490o |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
848737849050 = 2 · 315 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3097,-50669] |
[a1,a2,a3,a4,a6] |
j |
19448213595889/5022117450 |
j-invariant |
L |
1.3043449703337 |
L(r)(E,1)/r! |
Ω |
0.65217248517096 |
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 |
106470eh1 35490ci1 |
Quadratic twists by: -3 13 |