Atkin-Lehner |
2+ 3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330b |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
20744380927180800 = 222 · 39 · 52 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159774,23624468] |
[a1,a2,a3,a4,a6] |
j |
22916710199427507/1053923737600 |
j-invariant |
L |
1.5171941636826 |
L(r)(E,1)/r! |
Ω |
0.37929854093192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39330be1 |
Quadratic twists by: -3 |