Atkin-Lehner |
2+ 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370m |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-42316700400 = -1 · 24 · 37 · 52 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,11205] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:99:1] [6:-93:1] |
Generators of the group modulo torsion |
j |
-25128011089/58047600 |
j-invariant |
L |
8.1114204472703 |
L(r)(E,1)/r! |
Ω |
1.0132380840791 |
Real period |
R |
2.0013609275808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790q1 |
Quadratic twists by: -3 |