Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
22660c |
Isogeny class |
Conductor |
22660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-997040 = -1 · 24 · 5 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,142] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-643956736/62315 |
j-invariant |
L |
4.7323815808494 |
L(r)(E,1)/r! |
Ω |
2.7116710271371 |
Real period |
R |
0.2908650258758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90640o1 113300e1 |
Quadratic twists by: -4 5 |