Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370u |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18560 |
Modular degree for the optimal curve |
Δ |
-9328240 = -1 · 24 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- -4 6 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,-149] |
[a1,a2,a3,a4,a6] |
Generators |
[382:2427:8] |
Generators of the group modulo torsion |
j |
9261/1360 |
j-invariant |
L |
8.372328501171 |
L(r)(E,1)/r! |
Ω |
1.089646000799 |
Real period |
R |
3.8417653506602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61370i1 |
Quadratic twists by: -19 |