Atkin-Lehner |
2+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350p |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
183600 |
Modular degree for the optimal curve |
Δ |
-44095763800000000 = -1 · 29 · 58 · 115 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242,-10103084] |
[a1,a2,a3,a4,a6] |
j |
-4021785/112885155328 |
j-invariant |
L |
1.6509155776614 |
L(r)(E,1)/r! |
Ω |
0.16509155776614 |
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 |
20350t1 |
Quadratic twists by: 5 |