Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350be |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1041920000 = -1 · 212 · 54 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,187,1217] |
[a1,a2,a3,a4,a6] |
j |
1156706975/1667072 |
j-invariant |
L |
4.2169353308869 |
L(r)(E,1)/r! |
Ω |
1.0542338327217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20350c1 |
Quadratic twists by: 5 |