Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520y |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-11716155657420800 = -1 · 219 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 0 -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34175,-4616575] |
[a1,a2,a3,a4,a6] |
Generators |
[355:7220:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
3.3055675612646 |
L(r)(E,1)/r! |
Ω |
0.20710881045447 |
Real period |
R |
0.9975334800051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cs1 3610g1 6080i1 |
Quadratic twists by: -4 8 -19 |